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Finding the Fourth Proportional to 52,178.57, 78,233.82 and 34,355.28

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Solution

The fourth proportional to 52,178.57, 78,233.82 and 34,355.28 is: 51,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,178.57 : 78,233.82 = 34,355.28 : x
  2. Step 2: Convert to fraction form
    52,178.57/78,233.82 = 34,355.28/x
  3. Step 3: Cross multiply
    52,178.57x = 78,233.82 × 34,355.28
  4. Step 4: Simplify right side
    52,178.57x = 2,687,744,791.57
  5. Step 5: Solve for x
    x = 2,687,744,791.57/52,178.57
  6. Step 6: Final answer
    x = 51,510.51

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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.