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Finding the Fourth Proportional to 85,273.80, 127,837.76 and 32,721

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Solution

The fourth proportional to 85,273.80, 127,837.76 and 32,721 is: 49,053.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,273.80 : 127,837.76 = 32,721 : x
  2. Step 2: Convert to fraction form
    85,273.80/127,837.76 = 32,721/x
  3. Step 3: Cross multiply
    85,273.80x = 127,837.76 × 32,721
  4. Step 4: Simplify right side
    85,273.80x = 4,182,979,344.96
  5. Step 5: Solve for x
    x = 4,182,979,344.96/85,273.80
  6. Step 6: Final answer
    x = 49,053.51

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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.