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Finding the Fourth Proportional to 32,651.52, 45,059.12 and 17,747.52

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Solution

The fourth proportional to 32,651.52, 45,059.12 and 17,747.52 is: 24,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,651.52 : 45,059.12 = 17,747.52 : x
  2. Step 2: Convert to fraction form
    32,651.52/45,059.12 = 17,747.52/x
  3. Step 3: Cross multiply
    32,651.52x = 45,059.12 × 17,747.52
  4. Step 4: Simplify right side
    32,651.52x = 799,687,633.38
  5. Step 5: Solve for x
    x = 799,687,633.38/32,651.52
  6. Step 6: Final answer
    x = 24,491.59

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Why These Related Problems?

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