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Finding the Fourth Proportional to 83,209.65, 124,832.70 and 27,040.20

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Solution

The fourth proportional to 83,209.65, 124,832.70 and 27,040.20 is: 40,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,209.65 : 124,832.70 = 27,040.20 : x
  2. Step 2: Convert to fraction form
    83,209.65/124,832.70 = 27,040.20/x
  3. Step 3: Cross multiply
    83,209.65x = 124,832.70 × 27,040.20
  4. Step 4: Simplify right side
    83,209.65x = 3,375,501,174.54
  5. Step 5: Solve for x
    x = 3,375,501,174.54/83,209.65
  6. Step 6: Final answer
    x = 40,566.22

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1.5x scale

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.