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Finding the Fourth Proportional to 54,375.74, 81,547.94 and 14,934.14

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Solution

The fourth proportional to 54,375.74, 81,547.94 and 14,934.14 is: 22,396.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,375.74 : 81,547.94 = 14,934.14 : x
  2. Step 2: Convert to fraction form
    54,375.74/81,547.94 = 14,934.14/x
  3. Step 3: Cross multiply
    54,375.74x = 81,547.94 × 14,934.14
  4. Step 4: Simplify right side
    54,375.74x = 1,217,847,982.27
  5. Step 5: Solve for x
    x = 1,217,847,982.27/54,375.74
  6. Step 6: Final answer
    x = 22,396.90

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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.