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Finding the Fourth Proportional to 78,542, 117,836.20 and 45,285.92

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Solution

The fourth proportional to 78,542, 117,836.20 and 45,285.92 is: 67,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542 : 117,836.20 = 45,285.92 : x
  2. Step 2: Convert to fraction form
    78,542/117,836.20 = 45,285.92/x
  3. Step 3: Cross multiply
    78,542x = 117,836.20 × 45,285.92
  4. Step 4: Simplify right side
    78,542x = 5,336,320,726.30
  5. Step 5: Solve for x
    x = 5,336,320,726.30/78,542
  6. Step 6: Final answer
    x = 67,942.26

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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.