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Finding the Fourth Proportional to 55,306.41, 82,959.93 and 13,753.41

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Solution

The fourth proportional to 55,306.41, 82,959.93 and 13,753.41 is: 20,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,306.41 : 82,959.93 = 13,753.41 : x
  2. Step 2: Convert to fraction form
    55,306.41/82,959.93 = 13,753.41/x
  3. Step 3: Cross multiply
    55,306.41x = 82,959.93 × 13,753.41
  4. Step 4: Simplify right side
    55,306.41x = 1,140,981,619.76
  5. Step 5: Solve for x
    x = 1,140,981,619.76/55,306.41
  6. Step 6: Final answer
    x = 20,630.19

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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.