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Finding the Fourth Proportional to 83,443.68, 125,078.04 and 39,033

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Solution

The fourth proportional to 83,443.68, 125,078.04 and 39,033 is: 58,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443.68 : 125,078.04 = 39,033 : x
  2. Step 2: Convert to fraction form
    83,443.68/125,078.04 = 39,033/x
  3. Step 3: Cross multiply
    83,443.68x = 125,078.04 × 39,033
  4. Step 4: Simplify right side
    83,443.68x = 4,882,171,135.32
  5. Step 5: Solve for x
    x = 4,882,171,135.32/83,443.68
  6. Step 6: Final answer
    x = 58,508.58

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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.