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Finding the Fourth Proportional to 174,034.82, 261,095.97 and 49,375.82

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Solution

The fourth proportional to 174,034.82, 261,095.97 and 49,375.82 is: 74,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,034.82 : 261,095.97 = 49,375.82 : x
  2. Step 2: Convert to fraction form
    174,034.82/261,095.97 = 49,375.82/x
  3. Step 3: Cross multiply
    174,034.82x = 261,095.97 × 49,375.82
  4. Step 4: Simplify right side
    174,034.82x = 12,891,826,065.09
  5. Step 5: Solve for x
    x = 12,891,826,065.09/174,034.82
  6. Step 6: Final answer
    x = 74,076.13

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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.