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Finding the Fourth Proportional to 83,147.50, 124,722.33 and 27,743.50

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Solution

The fourth proportional to 83,147.50, 124,722.33 and 27,743.50 is: 41,615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.50 : 124,722.33 = 27,743.50 : x
  2. Step 2: Convert to fraction form
    83,147.50/124,722.33 = 27,743.50/x
  3. Step 3: Cross multiply
    83,147.50x = 124,722.33 × 27,743.50
  4. Step 4: Simplify right side
    83,147.50x = 3,460,233,962.36
  5. Step 5: Solve for x
    x = 3,460,233,962.36/83,147.50
  6. Step 6: Final answer
    x = 41,615.61

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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.