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Finding the Fourth Proportional to 126,424.40, 189,647.46 and 32,930

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Solution

The fourth proportional to 126,424.40, 189,647.46 and 32,930 is: 49,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,424.40 : 189,647.46 = 32,930 : x
  2. Step 2: Convert to fraction form
    126,424.40/189,647.46 = 32,930/x
  3. Step 3: Cross multiply
    126,424.40x = 189,647.46 × 32,930
  4. Step 4: Simplify right side
    126,424.40x = 6,245,090,857.80
  5. Step 5: Solve for x
    x = 6,245,090,857.80/126,424.40
  6. Step 6: Final answer
    x = 49,397.83

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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.