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Finding the Fourth Proportional to 38,651.80, 53,446.85 and 30,680.18

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Solution

The fourth proportional to 38,651.80, 53,446.85 and 30,680.18 is: 42,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,651.80 : 53,446.85 = 30,680.18 : x
  2. Step 2: Convert to fraction form
    38,651.80/53,446.85 = 30,680.18/x
  3. Step 3: Cross multiply
    38,651.80x = 53,446.85 × 30,680.18
  4. Step 4: Simplify right side
    38,651.80x = 1,639,759,073.70
  5. Step 5: Solve for x
    x = 1,639,759,073.70/38,651.80
  6. Step 6: Final answer
    x = 42,423.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.