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Finding the Fourth Proportional to 47,511.90, 65,592.54 and 32,427

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Solution

The fourth proportional to 47,511.90, 65,592.54 and 32,427 is: 44,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,511.90 : 65,592.54 = 32,427 : x
  2. Step 2: Convert to fraction form
    47,511.90/65,592.54 = 32,427/x
  3. Step 3: Cross multiply
    47,511.90x = 65,592.54 × 32,427
  4. Step 4: Simplify right side
    47,511.90x = 2,126,969,294.58
  5. Step 5: Solve for x
    x = 2,126,969,294.58/47,511.90
  6. Step 6: Final answer
    x = 44,767.09

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