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Finding the Fourth Proportional to 78,502.71, 117,755.43 and 22,344.27

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Solution

The fourth proportional to 78,502.71, 117,755.43 and 22,344.27 is: 33,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,502.71 : 117,755.43 = 22,344.27 : x
  2. Step 2: Convert to fraction form
    78,502.71/117,755.43 = 22,344.27/x
  3. Step 3: Cross multiply
    78,502.71x = 117,755.43 × 22,344.27
  4. Step 4: Simplify right side
    78,502.71x = 2,631,159,121.89
  5. Step 5: Solve for x
    x = 2,631,159,121.89/78,502.71
  6. Step 6: Final answer
    x = 33,516.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.