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Finding the Fourth Proportional to 83,916.26, 125,844.40 and 27,746

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Solution

The fourth proportional to 83,916.26, 125,844.40 and 27,746 is: 41,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916.26 : 125,844.40 = 27,746 : x
  2. Step 2: Convert to fraction form
    83,916.26/125,844.40 = 27,746/x
  3. Step 3: Cross multiply
    83,916.26x = 125,844.40 × 27,746
  4. Step 4: Simplify right side
    83,916.26x = 3,491,678,722.40
  5. Step 5: Solve for x
    x = 3,491,678,722.40/83,916.26
  6. Step 6: Final answer
    x = 41,609.08

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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.