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Finding the Fourth Proportional to 36,044.68, 49,740 and 20,126

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Solution

The fourth proportional to 36,044.68, 49,740 and 20,126 is: 27,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,044.68 : 49,740 = 20,126 : x
  2. Step 2: Convert to fraction form
    36,044.68/49,740 = 20,126/x
  3. Step 3: Cross multiply
    36,044.68x = 49,740 × 20,126
  4. Step 4: Simplify right side
    36,044.68x = 1,001,067,240
  5. Step 5: Solve for x
    x = 1,001,067,240/36,044.68
  6. Step 6: Final answer
    x = 27,772.95

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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.