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Finding the Fourth Proportional to 47,789.64, 65,930.76 and 27,642.78

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Solution

The fourth proportional to 47,789.64, 65,930.76 and 27,642.78 is: 38,136.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,789.64 : 65,930.76 = 27,642.78 : x
  2. Step 2: Convert to fraction form
    47,789.64/65,930.76 = 27,642.78/x
  3. Step 3: Cross multiply
    47,789.64x = 65,930.76 × 27,642.78
  4. Step 4: Simplify right side
    47,789.64x = 1,822,509,493.91
  5. Step 5: Solve for x
    x = 1,822,509,493.91/47,789.64
  6. Step 6: Final answer
    x = 38,136.08

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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.