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Finding the Fourth Proportional to 47,546.38, 65,614.81 and 26,035.78

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Solution

The fourth proportional to 47,546.38, 65,614.81 and 26,035.78 is: 35,929.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,546.38 : 65,614.81 = 26,035.78 : x
  2. Step 2: Convert to fraction form
    47,546.38/65,614.81 = 26,035.78/x
  3. Step 3: Cross multiply
    47,546.38x = 65,614.81 × 26,035.78
  4. Step 4: Simplify right side
    47,546.38x = 1,708,332,757.90
  5. Step 5: Solve for x
    x = 1,708,332,757.90/47,546.38
  6. Step 6: Final answer
    x = 35,929.82

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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.