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Finding the Fourth Proportional to 54,338.46, 74,989.85 and 30,463.71

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Solution

The fourth proportional to 54,338.46, 74,989.85 and 30,463.71 is: 42,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338.46 : 74,989.85 = 30,463.71 : x
  2. Step 2: Convert to fraction form
    54,338.46/74,989.85 = 30,463.71/x
  3. Step 3: Cross multiply
    54,338.46x = 74,989.85 × 30,463.71
  4. Step 4: Simplify right side
    54,338.46x = 2,284,468,891.02
  5. Step 5: Solve for x
    x = 2,284,468,891.02/54,338.46
  6. Step 6: Final answer
    x = 42,041.47

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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.