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Finding the Fourth Proportional to 47,534, 65,614.20 and 27,662

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Solution

The fourth proportional to 47,534, 65,614.20 and 27,662 is: 38,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,534 : 65,614.20 = 27,662 : x
  2. Step 2: Convert to fraction form
    47,534/65,614.20 = 27,662/x
  3. Step 3: Cross multiply
    47,534x = 65,614.20 × 27,662
  4. Step 4: Simplify right side
    47,534x = 1,815,020,000.40
  5. Step 5: Solve for x
    x = 1,815,020,000.40/47,534
  6. Step 6: Final answer
    x = 38,183.62

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Why These Related Problems?

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