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Finding the Fourth Proportional to 55,306.34, 82,959.84 and 13,753.34

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Solution

The fourth proportional to 55,306.34, 82,959.84 and 13,753.34 is: 20,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,306.34 : 82,959.84 = 13,753.34 : x
  2. Step 2: Convert to fraction form
    55,306.34/82,959.84 = 13,753.34/x
  3. Step 3: Cross multiply
    55,306.34x = 82,959.84 × 13,753.34
  4. Step 4: Simplify right side
    55,306.34x = 1,140,974,885.87
  5. Step 5: Solve for x
    x = 1,140,974,885.87/55,306.34
  6. Step 6: Final answer
    x = 20,630.09

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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.