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Finding the Fourth Proportional to 47,189.52, 65,193.12 and 35,232.17

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Solution

The fourth proportional to 47,189.52, 65,193.12 and 35,232.17 is: 48,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,189.52 : 65,193.12 = 35,232.17 : x
  2. Step 2: Convert to fraction form
    47,189.52/65,193.12 = 35,232.17/x
  3. Step 3: Cross multiply
    47,189.52x = 65,193.12 × 35,232.17
  4. Step 4: Simplify right side
    47,189.52x = 2,296,894,760.70
  5. Step 5: Solve for x
    x = 2,296,894,760.70/47,189.52
  6. Step 6: Final answer
    x = 48,673.83

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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.