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Finding the Fourth Proportional to 52,047, 77,876.85 and 45,691.92

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Solution

The fourth proportional to 52,047, 77,876.85 and 45,691.92 is: 68,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047 : 77,876.85 = 45,691.92 : x
  2. Step 2: Convert to fraction form
    52,047/77,876.85 = 45,691.92/x
  3. Step 3: Cross multiply
    52,047x = 77,876.85 × 45,691.92
  4. Step 4: Simplify right side
    52,047x = 3,558,342,800.05
  5. Step 5: Solve for x
    x = 3,558,342,800.05/52,047
  6. Step 6: Final answer
    x = 68,367.88

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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.