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Finding the Fourth Proportional to 54,689, 81,977.46 and 41,513.48

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Solution

The fourth proportional to 54,689, 81,977.46 and 41,513.48 is: 62,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,689 : 81,977.46 = 41,513.48 : x
  2. Step 2: Convert to fraction form
    54,689/81,977.46 = 41,513.48/x
  3. Step 3: Cross multiply
    54,689x = 81,977.46 × 41,513.48
  4. Step 4: Simplify right side
    54,689x = 3,403,169,646.16
  5. Step 5: Solve for x
    x = 3,403,169,646.16/54,689
  6. Step 6: Final answer
    x = 62,227.68

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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.