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Finding the Fourth Proportional to 71,750.34, 107,624.43 and 32,279.58

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Solution

The fourth proportional to 71,750.34, 107,624.43 and 32,279.58 is: 48,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,750.34 : 107,624.43 = 32,279.58 : x
  2. Step 2: Convert to fraction form
    71,750.34/107,624.43 = 32,279.58/x
  3. Step 3: Cross multiply
    71,750.34x = 107,624.43 × 32,279.58
  4. Step 4: Simplify right side
    71,750.34x = 3,474,071,398.14
  5. Step 5: Solve for x
    x = 3,474,071,398.14/71,750.34
  6. Step 6: Final answer
    x = 48,418.88

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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.