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Finding the Fourth Proportional to 37,344, 51,534.72 and 20,578.08

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Solution

The fourth proportional to 37,344, 51,534.72 and 20,578.08 is: 28,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,344 : 51,534.72 = 20,578.08 : x
  2. Step 2: Convert to fraction form
    37,344/51,534.72 = 20,578.08/x
  3. Step 3: Cross multiply
    37,344x = 51,534.72 × 20,578.08
  4. Step 4: Simplify right side
    37,344x = 1,060,485,590.94
  5. Step 5: Solve for x
    x = 1,060,485,590.94/37,344
  6. Step 6: Final answer
    x = 28,397.75

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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.