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Finding the Fourth Proportional to 52,077.60, 78,064.56 and 29,864.16

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Solution

The fourth proportional to 52,077.60, 78,064.56 and 29,864.16 is: 44,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.60 : 78,064.56 = 29,864.16 : x
  2. Step 2: Convert to fraction form
    52,077.60/78,064.56 = 29,864.16/x
  3. Step 3: Cross multiply
    52,077.60x = 78,064.56 × 29,864.16
  4. Step 4: Simplify right side
    52,077.60x = 2,331,332,510.17
  5. Step 5: Solve for x
    x = 2,331,332,510.17/52,077.60
  6. Step 6: Final answer
    x = 44,766.51

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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.