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Finding the Fourth Proportional to 51,451, 77,176.42 and 33,793.14

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Solution

The fourth proportional to 51,451, 77,176.42 and 33,793.14 is: 50,689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,451 : 77,176.42 = 33,793.14 : x
  2. Step 2: Convert to fraction form
    51,451/77,176.42 = 33,793.14/x
  3. Step 3: Cross multiply
    51,451x = 77,176.42 × 33,793.14
  4. Step 4: Simplify right side
    51,451x = 2,608,033,565.76
  5. Step 5: Solve for x
    x = 2,608,033,565.76/51,451
  6. Step 6: Final answer
    x = 50,689.66

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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.