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Finding the Fourth Proportional to 54,842.10, 82,197 and 25,219.32

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Solution

The fourth proportional to 54,842.10, 82,197 and 25,219.32 is: 37,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,842.10 : 82,197 = 25,219.32 : x
  2. Step 2: Convert to fraction form
    54,842.10/82,197 = 25,219.32/x
  3. Step 3: Cross multiply
    54,842.10x = 82,197 × 25,219.32
  4. Step 4: Simplify right side
    54,842.10x = 2,072,952,446.04
  5. Step 5: Solve for x
    x = 2,072,952,446.04/54,842.10
  6. Step 6: Final answer
    x = 37,798.56

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Why These Related Problems?

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