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Finding the Fourth Proportional to 75,251.92, 112,849.62 and 24,639.27

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Solution

The fourth proportional to 75,251.92, 112,849.62 and 24,639.27 is: 36,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251.92 : 112,849.62 = 24,639.27 : x
  2. Step 2: Convert to fraction form
    75,251.92/112,849.62 = 24,639.27/x
  3. Step 3: Cross multiply
    75,251.92x = 112,849.62 × 24,639.27
  4. Step 4: Simplify right side
    75,251.92x = 2,780,532,256.58
  5. Step 5: Solve for x
    x = 2,780,532,256.58/75,251.92
  6. Step 6: Final answer
    x = 36,949.65

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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.