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Finding the Fourth Proportional to 82,042.85, 123,063.05 and 50,031.33

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Solution

The fourth proportional to 82,042.85, 123,063.05 and 50,031.33 is: 75,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.85 : 123,063.05 = 50,031.33 : x
  2. Step 2: Convert to fraction form
    82,042.85/123,063.05 = 50,031.33/x
  3. Step 3: Cross multiply
    82,042.85x = 123,063.05 × 50,031.33
  4. Step 4: Simplify right side
    82,042.85x = 6,157,007,811.08
  5. Step 5: Solve for x
    x = 6,157,007,811.08/82,042.85
  6. Step 6: Final answer
    x = 75,046.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.