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Finding the Fourth Proportional to 47,658.42, 71,441.15 and 22,691.76

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Solution

The fourth proportional to 47,658.42, 71,441.15 and 22,691.76 is: 34,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658.42 : 71,441.15 = 22,691.76 : x
  2. Step 2: Convert to fraction form
    47,658.42/71,441.15 = 22,691.76/x
  3. Step 3: Cross multiply
    47,658.42x = 71,441.15 × 22,691.76
  4. Step 4: Simplify right side
    47,658.42x = 1,621,125,316.47
  5. Step 5: Solve for x
    x = 1,621,125,316.47/47,658.42
  6. Step 6: Final answer
    x = 34,015.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.