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Finding the Fourth Proportional to 47,118.38, 65,023.17 and 25,898.54

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Solution

The fourth proportional to 47,118.38, 65,023.17 and 25,898.54 is: 35,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,118.38 : 65,023.17 = 25,898.54 : x
  2. Step 2: Convert to fraction form
    47,118.38/65,023.17 = 25,898.54/x
  3. Step 3: Cross multiply
    47,118.38x = 65,023.17 × 25,898.54
  4. Step 4: Simplify right side
    47,118.38x = 1,684,005,169.17
  5. Step 5: Solve for x
    x = 1,684,005,169.17/47,118.38
  6. Step 6: Final answer
    x = 35,739.88

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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.