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Finding the Fourth Proportional to 54,387, 75,077.52 and 50,982.56

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Solution

The fourth proportional to 54,387, 75,077.52 and 50,982.56 is: 70,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,387 : 75,077.52 = 50,982.56 : x
  2. Step 2: Convert to fraction form
    54,387/75,077.52 = 50,982.56/x
  3. Step 3: Cross multiply
    54,387x = 75,077.52 × 50,982.56
  4. Step 4: Simplify right side
    54,387x = 3,827,644,168.05
  5. Step 5: Solve for x
    x = 3,827,644,168.05/54,387
  6. Step 6: Final answer
    x = 70,377.92

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