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Finding the Fourth Proportional to 54,863.93, 82,287.45 and 17,419.11

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Solution

The fourth proportional to 54,863.93, 82,287.45 and 17,419.11 is: 26,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,863.93 : 82,287.45 = 17,419.11 : x
  2. Step 2: Convert to fraction form
    54,863.93/82,287.45 = 17,419.11/x
  3. Step 3: Cross multiply
    54,863.93x = 82,287.45 × 17,419.11
  4. Step 4: Simplify right side
    54,863.93x = 1,433,374,143.17
  5. Step 5: Solve for x
    x = 1,433,374,143.17/54,863.93
  6. Step 6: Final answer
    x = 26,125.99

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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.