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Finding the Fourth Proportional to 61,129.89, 84,373.25 and 35,993.97

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Solution

The fourth proportional to 61,129.89, 84,373.25 and 35,993.97 is: 49,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,129.89 : 84,373.25 = 35,993.97 : x
  2. Step 2: Convert to fraction form
    61,129.89/84,373.25 = 35,993.97/x
  3. Step 3: Cross multiply
    61,129.89x = 84,373.25 × 35,993.97
  4. Step 4: Simplify right side
    61,129.89x = 3,036,928,049.33
  5. Step 5: Solve for x
    x = 3,036,928,049.33/61,129.89
  6. Step 6: Final answer
    x = 49,679.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.