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Finding the Fourth Proportional to 77,737.54, 116,601.67 and 45,734.59

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Solution

The fourth proportional to 77,737.54, 116,601.67 and 45,734.59 is: 68,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,737.54 : 116,601.67 = 45,734.59 : x
  2. Step 2: Convert to fraction form
    77,737.54/116,601.67 = 45,734.59/x
  3. Step 3: Cross multiply
    77,737.54x = 116,601.67 × 45,734.59
  4. Step 4: Simplify right side
    77,737.54x = 5,332,728,759.08
  5. Step 5: Solve for x
    x = 5,332,728,759.08/77,737.54
  6. Step 6: Final answer
    x = 68,599.15

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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.