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Finding the Fourth Proportional to 71,356.38, 98,471.88 and 39,524.61

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Solution

The fourth proportional to 71,356.38, 98,471.88 and 39,524.61 is: 54,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,356.38 : 98,471.88 = 39,524.61 : x
  2. Step 2: Convert to fraction form
    71,356.38/98,471.88 = 39,524.61/x
  3. Step 3: Cross multiply
    71,356.38x = 98,471.88 × 39,524.61
  4. Step 4: Simplify right side
    71,356.38x = 3,892,062,652.97
  5. Step 5: Solve for x
    x = 3,892,062,652.97/71,356.38
  6. Step 6: Final answer
    x = 54,544.00

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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.