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Finding the Fourth Proportional to 54,976.59, 82,400.13 and 23,377.14

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Solution

The fourth proportional to 54,976.59, 82,400.13 and 23,377.14 is: 35,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,976.59 : 82,400.13 = 23,377.14 : x
  2. Step 2: Convert to fraction form
    54,976.59/82,400.13 = 23,377.14/x
  3. Step 3: Cross multiply
    54,976.59x = 82,400.13 × 23,377.14
  4. Step 4: Simplify right side
    54,976.59x = 1,926,279,375.03
  5. Step 5: Solve for x
    x = 1,926,279,375.03/54,976.59
  6. Step 6: Final answer
    x = 35,038.17

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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.