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Finding the Fourth Proportional to 54,452.70, 81,683.10 and 19,387.80

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Solution

The fourth proportional to 54,452.70, 81,683.10 and 19,387.80 is: 29,083.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,452.70 : 81,683.10 = 19,387.80 : x
  2. Step 2: Convert to fraction form
    54,452.70/81,683.10 = 19,387.80/x
  3. Step 3: Cross multiply
    54,452.70x = 81,683.10 × 19,387.80
  4. Step 4: Simplify right side
    54,452.70x = 1,583,655,606.18
  5. Step 5: Solve for x
    x = 1,583,655,606.18/54,452.70
  6. Step 6: Final answer
    x = 29,083.14

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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.