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Finding the Fourth Proportional to 44,251.96, 66,377.94 and 25,771

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Solution

The fourth proportional to 44,251.96, 66,377.94 and 25,771 is: 38,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,251.96 : 66,377.94 = 25,771 : x
  2. Step 2: Convert to fraction form
    44,251.96/66,377.94 = 25,771/x
  3. Step 3: Cross multiply
    44,251.96x = 66,377.94 × 25,771
  4. Step 4: Simplify right side
    44,251.96x = 1,710,625,891.74
  5. Step 5: Solve for x
    x = 1,710,625,891.74/44,251.96
  6. Step 6: Final answer
    x = 38,656.50

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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.