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Finding the Fourth Proportional to 42,882.44, 64,321.68 and 11,717.60

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Solution

The fourth proportional to 42,882.44, 64,321.68 and 11,717.60 is: 17,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882.44 : 64,321.68 = 11,717.60 : x
  2. Step 2: Convert to fraction form
    42,882.44/64,321.68 = 11,717.60/x
  3. Step 3: Cross multiply
    42,882.44x = 64,321.68 × 11,717.60
  4. Step 4: Simplify right side
    42,882.44x = 753,695,717.57
  5. Step 5: Solve for x
    x = 753,695,717.57/42,882.44
  6. Step 6: Final answer
    x = 17,575.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.