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Finding the Fourth Proportional to 50,891.83, 70,231.14 and 28,232.30

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Solution

The fourth proportional to 50,891.83, 70,231.14 and 28,232.30 is: 38,960.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,891.83 : 70,231.14 = 28,232.30 : x
  2. Step 2: Convert to fraction form
    50,891.83/70,231.14 = 28,232.30/x
  3. Step 3: Cross multiply
    50,891.83x = 70,231.14 × 28,232.30
  4. Step 4: Simplify right side
    50,891.83x = 1,982,786,613.82
  5. Step 5: Solve for x
    x = 1,982,786,613.82/50,891.83
  6. Step 6: Final answer
    x = 38,960.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.