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Finding the Fourth Proportional to 27,132, 40,882.87 and 22,309.66

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Solution

The fourth proportional to 27,132, 40,882.87 and 22,309.66 is: 33,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132 : 40,882.87 = 22,309.66 : x
  2. Step 2: Convert to fraction form
    27,132/40,882.87 = 22,309.66/x
  3. Step 3: Cross multiply
    27,132x = 40,882.87 × 22,309.66
  4. Step 4: Simplify right side
    27,132x = 912,082,929.52
  5. Step 5: Solve for x
    x = 912,082,929.52/27,132
  6. Step 6: Final answer
    x = 33,616.50

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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.