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Finding the Fourth Proportional to 57,531.76, 86,309.40 and 24,251.82

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Solution

The fourth proportional to 57,531.76, 86,309.40 and 24,251.82 is: 36,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,531.76 : 86,309.40 = 24,251.82 : x
  2. Step 2: Convert to fraction form
    57,531.76/86,309.40 = 24,251.82/x
  3. Step 3: Cross multiply
    57,531.76x = 86,309.40 × 24,251.82
  4. Step 4: Simplify right side
    57,531.76x = 2,093,160,033.11
  5. Step 5: Solve for x
    x = 2,093,160,033.11/57,531.76
  6. Step 6: Final answer
    x = 36,382.69

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Why These Related Problems?

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