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Finding the Fourth Proportional to 48,306.18, 66,649.92 and 27,883.25

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Solution

The fourth proportional to 48,306.18, 66,649.92 and 27,883.25 is: 38,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,306.18 : 66,649.92 = 27,883.25 : x
  2. Step 2: Convert to fraction form
    48,306.18/66,649.92 = 27,883.25/x
  3. Step 3: Cross multiply
    48,306.18x = 66,649.92 × 27,883.25
  4. Step 4: Simplify right side
    48,306.18x = 1,858,416,048.59
  5. Step 5: Solve for x
    x = 1,858,416,048.59/48,306.18
  6. Step 6: Final answer
    x = 38,471.60

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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.