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Finding the Fourth Proportional to 47,785.78, 65,952.52 and 27,654.98

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Solution

The fourth proportional to 47,785.78, 65,952.52 and 27,654.98 is: 38,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,785.78 : 65,952.52 = 27,654.98 : x
  2. Step 2: Convert to fraction form
    47,785.78/65,952.52 = 27,654.98/x
  3. Step 3: Cross multiply
    47,785.78x = 65,952.52 × 27,654.98
  4. Step 4: Simplify right side
    47,785.78x = 1,823,915,621.55
  5. Step 5: Solve for x
    x = 1,823,915,621.55/47,785.78
  6. Step 6: Final answer
    x = 38,168.59

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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.