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Finding the Fourth Proportional to 55,109.70, 76,049.27 and 29,959.20

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Solution

The fourth proportional to 55,109.70, 76,049.27 and 29,959.20 is: 41,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,109.70 : 76,049.27 = 29,959.20 : x
  2. Step 2: Convert to fraction form
    55,109.70/76,049.27 = 29,959.20/x
  3. Step 3: Cross multiply
    55,109.70x = 76,049.27 × 29,959.20
  4. Step 4: Simplify right side
    55,109.70x = 2,278,375,289.78
  5. Step 5: Solve for x
    x = 2,278,375,289.78/55,109.70
  6. Step 6: Final answer
    x = 41,342.55

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