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Finding the Fourth Proportional to 54,812.52, 75,640.83 and 30,939

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Solution

The fourth proportional to 54,812.52, 75,640.83 and 30,939 is: 42,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812.52 : 75,640.83 = 30,939 : x
  2. Step 2: Convert to fraction form
    54,812.52/75,640.83 = 30,939/x
  3. Step 3: Cross multiply
    54,812.52x = 75,640.83 × 30,939
  4. Step 4: Simplify right side
    54,812.52x = 2,340,251,639.37
  5. Step 5: Solve for x
    x = 2,340,251,639.37/54,812.52
  6. Step 6: Final answer
    x = 42,695.57

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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.