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Finding the Fourth Proportional to 49,398.44, 68,169.21 and 28,178.06

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Solution

The fourth proportional to 49,398.44, 68,169.21 and 28,178.06 is: 38,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,398.44 : 68,169.21 = 28,178.06 : x
  2. Step 2: Convert to fraction form
    49,398.44/68,169.21 = 28,178.06/x
  3. Step 3: Cross multiply
    49,398.44x = 68,169.21 × 28,178.06
  4. Step 4: Simplify right side
    49,398.44x = 1,920,876,089.53
  5. Step 5: Solve for x
    x = 1,920,876,089.53/49,398.44
  6. Step 6: Final answer
    x = 38,885.36

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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.