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Finding the Fourth Proportional to 84,766.50, 127,158.26 and 22,437

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Solution

The fourth proportional to 84,766.50, 127,158.26 and 22,437 is: 33,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,766.50 : 127,158.26 = 22,437 : x
  2. Step 2: Convert to fraction form
    84,766.50/127,158.26 = 22,437/x
  3. Step 3: Cross multiply
    84,766.50x = 127,158.26 × 22,437
  4. Step 4: Simplify right side
    84,766.50x = 2,853,049,767.44
  5. Step 5: Solve for x
    x = 2,853,049,767.44/84,766.50
  6. Step 6: Final answer
    x = 33,657.75

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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.