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Finding the Fourth Proportional to 83,051.78, 114,614.12 and 47,240.87

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Solution

The fourth proportional to 83,051.78, 114,614.12 and 47,240.87 is: 65,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,051.78 : 114,614.12 = 47,240.87 : x
  2. Step 2: Convert to fraction form
    83,051.78/114,614.12 = 47,240.87/x
  3. Step 3: Cross multiply
    83,051.78x = 114,614.12 × 47,240.87
  4. Step 4: Simplify right side
    83,051.78x = 5,414,470,288.12
  5. Step 5: Solve for x
    x = 5,414,470,288.12/83,051.78
  6. Step 6: Final answer
    x = 65,193.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.