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Finding the Fourth Proportional to 49,693.75, 68,578.62 and 27,034.01

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Solution

The fourth proportional to 49,693.75, 68,578.62 and 27,034.01 is: 37,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,693.75 : 68,578.62 = 27,034.01 : x
  2. Step 2: Convert to fraction form
    49,693.75/68,578.62 = 27,034.01/x
  3. Step 3: Cross multiply
    49,693.75x = 68,578.62 × 27,034.01
  4. Step 4: Simplify right side
    49,693.75x = 1,853,955,098.87
  5. Step 5: Solve for x
    x = 1,853,955,098.87/49,693.75
  6. Step 6: Final answer
    x = 37,307.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.