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Finding the Fourth Proportional to 52,142.58, 77,543.06 and 50,481.83

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Solution

The fourth proportional to 52,142.58, 77,543.06 and 50,481.83 is: 75,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.58 : 77,543.06 = 50,481.83 : x
  2. Step 2: Convert to fraction form
    52,142.58/77,543.06 = 50,481.83/x
  3. Step 3: Cross multiply
    52,142.58x = 77,543.06 × 50,481.83
  4. Step 4: Simplify right side
    52,142.58x = 3,914,514,932.48
  5. Step 5: Solve for x
    x = 3,914,514,932.48/52,142.58
  6. Step 6: Final answer
    x = 75,073.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.