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Finding the Fourth Proportional to 49,641.76, 74,391.96 and 24,657.32

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Solution

The fourth proportional to 49,641.76, 74,391.96 and 24,657.32 is: 36,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,641.76 : 74,391.96 = 24,657.32 : x
  2. Step 2: Convert to fraction form
    49,641.76/74,391.96 = 24,657.32/x
  3. Step 3: Cross multiply
    49,641.76x = 74,391.96 × 24,657.32
  4. Step 4: Simplify right side
    49,641.76x = 1,834,306,363.15
  5. Step 5: Solve for x
    x = 1,834,306,363.15/49,641.76
  6. Step 6: Final answer
    x = 36,950.87

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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.