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Finding the Fourth Proportional to 54,308.49, 81,462.78 and 22,701.24

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Solution

The fourth proportional to 54,308.49, 81,462.78 and 22,701.24 is: 34,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,308.49 : 81,462.78 = 22,701.24 : x
  2. Step 2: Convert to fraction form
    54,308.49/81,462.78 = 22,701.24/x
  3. Step 3: Cross multiply
    54,308.49x = 81,462.78 × 22,701.24
  4. Step 4: Simplify right side
    54,308.49x = 1,849,306,119.85
  5. Step 5: Solve for x
    x = 1,849,306,119.85/54,308.49
  6. Step 6: Final answer
    x = 34,051.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.