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Finding the Fourth Proportional to 52,902.57, 73,008.27 and 31,694.13

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Solution

The fourth proportional to 52,902.57, 73,008.27 and 31,694.13 is: 43,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902.57 : 73,008.27 = 31,694.13 : x
  2. Step 2: Convert to fraction form
    52,902.57/73,008.27 = 31,694.13/x
  3. Step 3: Cross multiply
    52,902.57x = 73,008.27 × 31,694.13
  4. Step 4: Simplify right side
    52,902.57x = 2,313,933,600.46
  5. Step 5: Solve for x
    x = 2,313,933,600.46/52,902.57
  6. Step 6: Final answer
    x = 43,739.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.