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Finding the Fourth Proportional to 83,078.60, 124,634.10 and 33,150.20

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Solution

The fourth proportional to 83,078.60, 124,634.10 and 33,150.20 is: 49,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,078.60 : 124,634.10 = 33,150.20 : x
  2. Step 2: Convert to fraction form
    83,078.60/124,634.10 = 33,150.20/x
  3. Step 3: Cross multiply
    83,078.60x = 124,634.10 × 33,150.20
  4. Step 4: Simplify right side
    83,078.60x = 4,131,645,341.82
  5. Step 5: Solve for x
    x = 4,131,645,341.82/83,078.60
  6. Step 6: Final answer
    x = 49,731.76

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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.