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Finding the Fourth Proportional to 96,474.54, 144,761.18 and 45,930.77

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Solution

The fourth proportional to 96,474.54, 144,761.18 and 45,930.77 is: 68,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,474.54 : 144,761.18 = 45,930.77 : x
  2. Step 2: Convert to fraction form
    96,474.54/144,761.18 = 45,930.77/x
  3. Step 3: Cross multiply
    96,474.54x = 144,761.18 × 45,930.77
  4. Step 4: Simplify right side
    96,474.54x = 6,648,991,510.05
  5. Step 5: Solve for x
    x = 6,648,991,510.05/96,474.54
  6. Step 6: Final answer
    x = 68,919.65

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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.