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Finding the Fourth Proportional to 38,116.80, 57,175.20 and 18,433.80

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Solution

The fourth proportional to 38,116.80, 57,175.20 and 18,433.80 is: 27,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,116.80 : 57,175.20 = 18,433.80 : x
  2. Step 2: Convert to fraction form
    38,116.80/57,175.20 = 18,433.80/x
  3. Step 3: Cross multiply
    38,116.80x = 57,175.20 × 18,433.80
  4. Step 4: Simplify right side
    38,116.80x = 1,053,956,201.76
  5. Step 5: Solve for x
    x = 1,053,956,201.76/38,116.80
  6. Step 6: Final answer
    x = 27,650.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.