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Finding the Fourth Proportional to 55,306.24, 82,959.42 and 13,753.24

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Solution

The fourth proportional to 55,306.24, 82,959.42 and 13,753.24 is: 20,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,306.24 : 82,959.42 = 13,753.24 : x
  2. Step 2: Convert to fraction form
    55,306.24/82,959.42 = 13,753.24/x
  3. Step 3: Cross multiply
    55,306.24x = 82,959.42 × 13,753.24
  4. Step 4: Simplify right side
    55,306.24x = 1,140,960,813.52
  5. Step 5: Solve for x
    x = 1,140,960,813.52/55,306.24
  6. Step 6: Final answer
    x = 20,629.87

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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.