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Finding the Fourth Proportional to 83,757.47, 125,580.66 and 30,443.12

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Solution

The fourth proportional to 83,757.47, 125,580.66 and 30,443.12 is: 45,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,757.47 : 125,580.66 = 30,443.12 : x
  2. Step 2: Convert to fraction form
    83,757.47/125,580.66 = 30,443.12/x
  3. Step 3: Cross multiply
    83,757.47x = 125,580.66 × 30,443.12
  4. Step 4: Simplify right side
    83,757.47x = 3,823,067,102.06
  5. Step 5: Solve for x
    x = 3,823,067,102.06/83,757.47
  6. Step 6: Final answer
    x = 45,644.49

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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.