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Finding the Fourth Proportional to 67,909.54, 101,885.17 and 32,416.15

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Solution

The fourth proportional to 67,909.54, 101,885.17 and 32,416.15 is: 48,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,909.54 : 101,885.17 = 32,416.15 : x
  2. Step 2: Convert to fraction form
    67,909.54/101,885.17 = 32,416.15/x
  3. Step 3: Cross multiply
    67,909.54x = 101,885.17 × 32,416.15
  4. Step 4: Simplify right side
    67,909.54x = 3,302,724,778.39
  5. Step 5: Solve for x
    x = 3,302,724,778.39/67,909.54
  6. Step 6: Final answer
    x = 48,634.18

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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.