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Finding the Fourth Proportional to 27,131.50, 40,882.12 and 22,309.16

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Solution

The fourth proportional to 27,131.50, 40,882.12 and 22,309.16 is: 33,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131.50 : 40,882.12 = 22,309.16 : x
  2. Step 2: Convert to fraction form
    27,131.50/40,882.12 = 22,309.16/x
  3. Step 3: Cross multiply
    27,131.50x = 40,882.12 × 22,309.16
  4. Step 4: Simplify right side
    27,131.50x = 912,045,644.67
  5. Step 5: Solve for x
    x = 912,045,644.67/27,131.50
  6. Step 6: Final answer
    x = 33,615.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.