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Finding the Fourth Proportional to 90,065.97, 124,297.47 and 49,778.86

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Solution

The fourth proportional to 90,065.97, 124,297.47 and 49,778.86 is: 68,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,065.97 : 124,297.47 = 49,778.86 : x
  2. Step 2: Convert to fraction form
    90,065.97/124,297.47 = 49,778.86/x
  3. Step 3: Cross multiply
    90,065.97x = 124,297.47 × 49,778.86
  4. Step 4: Simplify right side
    90,065.97x = 6,187,386,046.74
  5. Step 5: Solve for x
    x = 6,187,386,046.74/90,065.97
  6. Step 6: Final answer
    x = 68,698.38

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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.