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Finding the Fourth Proportional to 52,154.38, 71,972.94 and 28,280.98

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Solution

The fourth proportional to 52,154.38, 71,972.94 and 28,280.98 is: 39,027.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154.38 : 71,972.94 = 28,280.98 : x
  2. Step 2: Convert to fraction form
    52,154.38/71,972.94 = 28,280.98/x
  3. Step 3: Cross multiply
    52,154.38x = 71,972.94 × 28,280.98
  4. Step 4: Simplify right side
    52,154.38x = 2,035,465,276.68
  5. Step 5: Solve for x
    x = 2,035,465,276.68/52,154.38
  6. Step 6: Final answer
    x = 39,027.70

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Why These Related Problems?

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