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Finding the Fourth Proportional to 70,781.68, 106,188.96 and 24,034.57

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Solution

The fourth proportional to 70,781.68, 106,188.96 and 24,034.57 is: 36,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,781.68 : 106,188.96 = 24,034.57 : x
  2. Step 2: Convert to fraction form
    70,781.68/106,188.96 = 24,034.57/x
  3. Step 3: Cross multiply
    70,781.68x = 106,188.96 × 24,034.57
  4. Step 4: Simplify right side
    70,781.68x = 2,552,205,992.35
  5. Step 5: Solve for x
    x = 2,552,205,992.35/70,781.68
  6. Step 6: Final answer
    x = 36,057.44

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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.