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Finding the Fourth Proportional to 51,632.88, 77,452.20 and 14,694

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Solution

The fourth proportional to 51,632.88, 77,452.20 and 14,694 is: 22,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,632.88 : 77,452.20 = 14,694 : x
  2. Step 2: Convert to fraction form
    51,632.88/77,452.20 = 14,694/x
  3. Step 3: Cross multiply
    51,632.88x = 77,452.20 × 14,694
  4. Step 4: Simplify right side
    51,632.88x = 1,138,082,626.80
  5. Step 5: Solve for x
    x = 1,138,082,626.80/51,632.88
  6. Step 6: Final answer
    x = 22,041.82

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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.