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Finding the Fourth Proportional to 47,221.20, 65,131.56 and 30,438

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Solution

The fourth proportional to 47,221.20, 65,131.56 and 30,438 is: 41,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,221.20 : 65,131.56 = 30,438 : x
  2. Step 2: Convert to fraction form
    47,221.20/65,131.56 = 30,438/x
  3. Step 3: Cross multiply
    47,221.20x = 65,131.56 × 30,438
  4. Step 4: Simplify right side
    47,221.20x = 1,982,474,423.28
  5. Step 5: Solve for x
    x = 1,982,474,423.28/47,221.20
  6. Step 6: Final answer
    x = 41,982.72

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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.