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Finding the Fourth Proportional to 55,143.50, 82,742.58 and 21,862.85

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Solution

The fourth proportional to 55,143.50, 82,742.58 and 21,862.85 is: 32,805.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,143.50 : 82,742.58 = 21,862.85 : x
  2. Step 2: Convert to fraction form
    55,143.50/82,742.58 = 21,862.85/x
  3. Step 3: Cross multiply
    55,143.50x = 82,742.58 × 21,862.85
  4. Step 4: Simplify right side
    55,143.50x = 1,808,988,201.44
  5. Step 5: Solve for x
    x = 1,808,988,201.44/55,143.50
  6. Step 6: Final answer
    x = 32,805.11

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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.