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Finding the Fourth Proportional to 54,744.66, 82,116.99 and 13,191.66

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Solution

The fourth proportional to 54,744.66, 82,116.99 and 13,191.66 is: 19,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744.66 : 82,116.99 = 13,191.66 : x
  2. Step 2: Convert to fraction form
    54,744.66/82,116.99 = 13,191.66/x
  3. Step 3: Cross multiply
    54,744.66x = 82,116.99 × 13,191.66
  4. Step 4: Simplify right side
    54,744.66x = 1,083,259,412.30
  5. Step 5: Solve for x
    x = 1,083,259,412.30/54,744.66
  6. Step 6: Final answer
    x = 19,787.49

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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.