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Finding the Fourth Proportional to 54,854.10, 82,215 and 25,231.32

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Solution

The fourth proportional to 54,854.10, 82,215 and 25,231.32 is: 37,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,854.10 : 82,215 = 25,231.32 : x
  2. Step 2: Convert to fraction form
    54,854.10/82,215 = 25,231.32/x
  3. Step 3: Cross multiply
    54,854.10x = 82,215 × 25,231.32
  4. Step 4: Simplify right side
    54,854.10x = 2,074,392,973.80
  5. Step 5: Solve for x
    x = 2,074,392,973.80/54,854.10
  6. Step 6: Final answer
    x = 37,816.55

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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.