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Finding the Fourth Proportional to 27,632.52, 41,418 and 10,988.10

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Solution

The fourth proportional to 27,632.52, 41,418 and 10,988.10 is: 16,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632.52 : 41,418 = 10,988.10 : x
  2. Step 2: Convert to fraction form
    27,632.52/41,418 = 10,988.10/x
  3. Step 3: Cross multiply
    27,632.52x = 41,418 × 10,988.10
  4. Step 4: Simplify right side
    27,632.52x = 455,105,125.80
  5. Step 5: Solve for x
    x = 455,105,125.80/27,632.52
  6. Step 6: Final answer
    x = 16,469.91

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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.