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Finding the Fourth Proportional to 71,722.74, 107,600.70 and 24,335.34

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Solution

The fourth proportional to 71,722.74, 107,600.70 and 24,335.34 is: 36,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,722.74 : 107,600.70 = 24,335.34 : x
  2. Step 2: Convert to fraction form
    71,722.74/107,600.70 = 24,335.34/x
  3. Step 3: Cross multiply
    71,722.74x = 107,600.70 × 24,335.34
  4. Step 4: Simplify right side
    71,722.74x = 2,618,499,618.74
  5. Step 5: Solve for x
    x = 2,618,499,618.74/71,722.74
  6. Step 6: Final answer
    x = 36,508.64

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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.