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Finding the Fourth Proportional to 47,747.88, 65,887.02 and 27,601.56

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Solution

The fourth proportional to 47,747.88, 65,887.02 and 27,601.56 is: 38,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,747.88 : 65,887.02 = 27,601.56 : x
  2. Step 2: Convert to fraction form
    47,747.88/65,887.02 = 27,601.56/x
  3. Step 3: Cross multiply
    47,747.88x = 65,887.02 × 27,601.56
  4. Step 4: Simplify right side
    47,747.88x = 1,818,584,535.75
  5. Step 5: Solve for x
    x = 1,818,584,535.75/47,747.88
  6. Step 6: Final answer
    x = 38,087.23

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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.