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Finding the Fourth Proportional to 83,431.74, 125,132.49 and 33,509.82

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Solution

The fourth proportional to 83,431.74, 125,132.49 and 33,509.82 is: 50,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,431.74 : 125,132.49 = 33,509.82 : x
  2. Step 2: Convert to fraction form
    83,431.74/125,132.49 = 33,509.82/x
  3. Step 3: Cross multiply
    83,431.74x = 125,132.49 × 33,509.82
  4. Step 4: Simplify right side
    83,431.74x = 4,193,167,216.05
  5. Step 5: Solve for x
    x = 4,193,167,216.05/83,431.74
  6. Step 6: Final answer
    x = 50,258.66

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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.