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Finding the Fourth Proportional to 54,767.80, 82,151.70 and 35,084.80

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Solution

The fourth proportional to 54,767.80, 82,151.70 and 35,084.80 is: 52,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,767.80 : 82,151.70 = 35,084.80 : x
  2. Step 2: Convert to fraction form
    54,767.80/82,151.70 = 35,084.80/x
  3. Step 3: Cross multiply
    54,767.80x = 82,151.70 × 35,084.80
  4. Step 4: Simplify right side
    54,767.80x = 2,882,275,964.16
  5. Step 5: Solve for x
    x = 2,882,275,964.16/54,767.80
  6. Step 6: Final answer
    x = 52,627.20

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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.