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Finding the Fourth Proportional to 77,185.38, 115,833.46 and 32,843.28

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Solution

The fourth proportional to 77,185.38, 115,833.46 and 32,843.28 is: 49,288.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,185.38 : 115,833.46 = 32,843.28 : x
  2. Step 2: Convert to fraction form
    77,185.38/115,833.46 = 32,843.28/x
  3. Step 3: Cross multiply
    77,185.38x = 115,833.46 × 32,843.28
  4. Step 4: Simplify right side
    77,185.38x = 3,804,350,760.15
  5. Step 5: Solve for x
    x = 3,804,350,760.15/77,185.38
  6. Step 6: Final answer
    x = 49,288.49

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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.