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Finding the Fourth Proportional to 83,640, 125,471.70 and 24,479.94

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Solution

The fourth proportional to 83,640, 125,471.70 and 24,479.94 is: 36,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,640 : 125,471.70 = 24,479.94 : x
  2. Step 2: Convert to fraction form
    83,640/125,471.70 = 24,479.94/x
  3. Step 3: Cross multiply
    83,640x = 125,471.70 × 24,479.94
  4. Step 4: Simplify right side
    83,640x = 3,071,539,687.70
  5. Step 5: Solve for x
    x = 3,071,539,687.70/83,640
  6. Step 6: Final answer
    x = 36,723.33

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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.