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Finding the Fourth Proportional to 54,841.40, 82,207.43 and 25,207.55

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Solution

The fourth proportional to 54,841.40, 82,207.43 and 25,207.55 is: 37,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,841.40 : 82,207.43 = 25,207.55 : x
  2. Step 2: Convert to fraction form
    54,841.40/82,207.43 = 25,207.55/x
  3. Step 3: Cross multiply
    54,841.40x = 82,207.43 × 25,207.55
  4. Step 4: Simplify right side
    54,841.40x = 2,072,247,776.06
  5. Step 5: Solve for x
    x = 2,072,247,776.06/54,841.40
  6. Step 6: Final answer
    x = 37,786.19

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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.