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Finding the Fourth Proportional to 83,755.92, 115,551.24 and 62,004

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Solution

The fourth proportional to 83,755.92, 115,551.24 and 62,004 is: 85,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,755.92 : 115,551.24 = 62,004 : x
  2. Step 2: Convert to fraction form
    83,755.92/115,551.24 = 62,004/x
  3. Step 3: Cross multiply
    83,755.92x = 115,551.24 × 62,004
  4. Step 4: Simplify right side
    83,755.92x = 7,164,639,084.96
  5. Step 5: Solve for x
    x = 7,164,639,084.96/83,755.92
  6. Step 6: Final answer
    x = 85,541.88

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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.