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Finding the Fourth Proportional to 48,076.30, 66,358.22 and 27,660.70

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Solution

The fourth proportional to 48,076.30, 66,358.22 and 27,660.70 is: 38,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,076.30 : 66,358.22 = 27,660.70 : x
  2. Step 2: Convert to fraction form
    48,076.30/66,358.22 = 27,660.70/x
  3. Step 3: Cross multiply
    48,076.30x = 66,358.22 × 27,660.70
  4. Step 4: Simplify right side
    48,076.30x = 1,835,514,815.95
  5. Step 5: Solve for x
    x = 1,835,514,815.95/48,076.30
  6. Step 6: Final answer
    x = 38,179.20

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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.