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Finding the Fourth Proportional to 121,685, 182,562.06 and 38,581.16

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Solution

The fourth proportional to 121,685, 182,562.06 and 38,581.16 is: 57,882.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,685 : 182,562.06 = 38,581.16 : x
  2. Step 2: Convert to fraction form
    121,685/182,562.06 = 38,581.16/x
  3. Step 3: Cross multiply
    121,685x = 182,562.06 × 38,581.16
  4. Step 4: Simplify right side
    121,685x = 7,043,456,046.79
  5. Step 5: Solve for x
    x = 7,043,456,046.79/121,685
  6. Step 6: Final answer
    x = 57,882.70

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