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Finding the Fourth Proportional to 68,702.68, 103,019.40 and 24,323.20

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Solution

The fourth proportional to 68,702.68, 103,019.40 and 24,323.20 is: 36,472.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,702.68 : 103,019.40 = 24,323.20 : x
  2. Step 2: Convert to fraction form
    68,702.68/103,019.40 = 24,323.20/x
  3. Step 3: Cross multiply
    68,702.68x = 103,019.40 × 24,323.20
  4. Step 4: Simplify right side
    68,702.68x = 2,505,761,470.08
  5. Step 5: Solve for x
    x = 2,505,761,470.08/68,702.68
  6. Step 6: Final answer
    x = 36,472.54

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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.