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Finding the Fourth Proportional to 54,396.74, 81,599.06 and 22,775

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Solution

The fourth proportional to 54,396.74, 81,599.06 and 22,775 is: 34,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,396.74 : 81,599.06 = 22,775 : x
  2. Step 2: Convert to fraction form
    54,396.74/81,599.06 = 22,775/x
  3. Step 3: Cross multiply
    54,396.74x = 81,599.06 × 22,775
  4. Step 4: Simplify right side
    54,396.74x = 1,858,418,591.50
  5. Step 5: Solve for x
    x = 1,858,418,591.50/54,396.74
  6. Step 6: Final answer
    x = 34,164.15

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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.