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Finding the Fourth Proportional to 54,801.36, 75,640.50 and 30,942

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Solution

The fourth proportional to 54,801.36, 75,640.50 and 30,942 is: 42,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801.36 : 75,640.50 = 30,942 : x
  2. Step 2: Convert to fraction form
    54,801.36/75,640.50 = 30,942/x
  3. Step 3: Cross multiply
    54,801.36x = 75,640.50 × 30,942
  4. Step 4: Simplify right side
    54,801.36x = 2,340,468,351
  5. Step 5: Solve for x
    x = 2,340,468,351/54,801.36
  6. Step 6: Final answer
    x = 42,708.22

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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.