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Finding the Fourth Proportional to 36,065, 49,778.50 and 21,927.24

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Solution

The fourth proportional to 36,065, 49,778.50 and 21,927.24 is: 30,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,065 : 49,778.50 = 21,927.24 : x
  2. Step 2: Convert to fraction form
    36,065/49,778.50 = 21,927.24/x
  3. Step 3: Cross multiply
    36,065x = 49,778.50 × 21,927.24
  4. Step 4: Simplify right side
    36,065x = 1,091,505,116.34
  5. Step 5: Solve for x
    x = 1,091,505,116.34/36,065
  6. Step 6: Final answer
    x = 30,264.94

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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.