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Finding the Fourth Proportional to 72,932.97, 109,597.11 and 39,677.61

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Solution

The fourth proportional to 72,932.97, 109,597.11 and 39,677.61 is: 59,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,932.97 : 109,597.11 = 39,677.61 : x
  2. Step 2: Convert to fraction form
    72,932.97/109,597.11 = 39,677.61/x
  3. Step 3: Cross multiply
    72,932.97x = 109,597.11 × 39,677.61
  4. Step 4: Simplify right side
    72,932.97x = 4,348,551,387.71
  5. Step 5: Solve for x
    x = 4,348,551,387.71/72,932.97
  6. Step 6: Final answer
    x = 59,623.94

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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.