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Finding the Fourth Proportional to 133,691.52, 200,537.26 and 32,489

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Solution

The fourth proportional to 133,691.52, 200,537.26 and 32,489 is: 48,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.52 : 200,537.26 = 32,489 : x
  2. Step 2: Convert to fraction form
    133,691.52/200,537.26 = 32,489/x
  3. Step 3: Cross multiply
    133,691.52x = 200,537.26 × 32,489
  4. Step 4: Simplify right side
    133,691.52x = 6,515,255,040.14
  5. Step 5: Solve for x
    x = 6,515,255,040.14/133,691.52
  6. Step 6: Final answer
    x = 48,733.50

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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.