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Finding the Fourth Proportional to 54,270.66, 74,895.82 and 31,606

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Solution

The fourth proportional to 54,270.66, 74,895.82 and 31,606 is: 43,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,270.66 : 74,895.82 = 31,606 : x
  2. Step 2: Convert to fraction form
    54,270.66/74,895.82 = 31,606/x
  3. Step 3: Cross multiply
    54,270.66x = 74,895.82 × 31,606
  4. Step 4: Simplify right side
    54,270.66x = 2,367,157,286.92
  5. Step 5: Solve for x
    x = 2,367,157,286.92/54,270.66
  6. Step 6: Final answer
    x = 43,617.62

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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.