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Finding the Fourth Proportional to 37,463.76, 51,700.74 and 21,549.24

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Solution

The fourth proportional to 37,463.76, 51,700.74 and 21,549.24 is: 29,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,463.76 : 51,700.74 = 21,549.24 : x
  2. Step 2: Convert to fraction form
    37,463.76/51,700.74 = 21,549.24/x
  3. Step 3: Cross multiply
    37,463.76x = 51,700.74 × 21,549.24
  4. Step 4: Simplify right side
    37,463.76x = 1,114,111,654.44
  5. Step 5: Solve for x
    x = 1,114,111,654.44/37,463.76
  6. Step 6: Final answer
    x = 29,738.38

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Find fourth proportional to 37,464.76, 51,702.12 and 21,550.24
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.