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Finding the Fourth Proportional to 52,002.54, 78,003.81 and 41,679.90

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Solution

The fourth proportional to 52,002.54, 78,003.81 and 41,679.90 is: 62,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002.54 : 78,003.81 = 41,679.90 : x
  2. Step 2: Convert to fraction form
    52,002.54/78,003.81 = 41,679.90/x
  3. Step 3: Cross multiply
    52,002.54x = 78,003.81 × 41,679.90
  4. Step 4: Simplify right side
    52,002.54x = 3,251,191,000.42
  5. Step 5: Solve for x
    x = 3,251,191,000.42/52,002.54
  6. Step 6: Final answer
    x = 62,519.85

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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.