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Finding the Fourth Proportional to 78,778.91, 108,724.08 and 44,792.48

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Solution

The fourth proportional to 78,778.91, 108,724.08 and 44,792.48 is: 61,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,778.91 : 108,724.08 = 44,792.48 : x
  2. Step 2: Convert to fraction form
    78,778.91/108,724.08 = 44,792.48/x
  3. Step 3: Cross multiply
    78,778.91x = 108,724.08 × 44,792.48
  4. Step 4: Simplify right side
    78,778.91x = 4,870,021,450.73
  5. Step 5: Solve for x
    x = 4,870,021,450.73/78,778.91
  6. Step 6: Final answer
    x = 61,818.85

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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.