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Finding the Fourth Proportional to 68,777.64, 103,132.44 and 24,397.74

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Solution

The fourth proportional to 68,777.64, 103,132.44 and 24,397.74 is: 36,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,777.64 : 103,132.44 = 24,397.74 : x
  2. Step 2: Convert to fraction form
    68,777.64/103,132.44 = 24,397.74/x
  3. Step 3: Cross multiply
    68,777.64x = 103,132.44 × 24,397.74
  4. Step 4: Simplify right side
    68,777.64x = 2,516,198,456.69
  5. Step 5: Solve for x
    x = 2,516,198,456.69/68,777.64
  6. Step 6: Final answer
    x = 36,584.54

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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.