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Finding the Fourth Proportional to 54,708.80, 81,975.68 and 49,460

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Solution

The fourth proportional to 54,708.80, 81,975.68 and 49,460 is: 74,110.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,708.80 : 81,975.68 = 49,460 : x
  2. Step 2: Convert to fraction form
    54,708.80/81,975.68 = 49,460/x
  3. Step 3: Cross multiply
    54,708.80x = 81,975.68 × 49,460
  4. Step 4: Simplify right side
    54,708.80x = 4,054,517,132.80
  5. Step 5: Solve for x
    x = 4,054,517,132.80/54,708.80
  6. Step 6: Final answer
    x = 74,110.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.