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Finding the Fourth Proportional to 96,361.50, 144,481.50 and 46,454.16

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Solution

The fourth proportional to 96,361.50, 144,481.50 and 46,454.16 is: 69,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,361.50 : 144,481.50 = 46,454.16 : x
  2. Step 2: Convert to fraction form
    96,361.50/144,481.50 = 46,454.16/x
  3. Step 3: Cross multiply
    96,361.50x = 144,481.50 × 46,454.16
  4. Step 4: Simplify right side
    96,361.50x = 6,711,766,718.04
  5. Step 5: Solve for x
    x = 6,711,766,718.04/96,361.50
  6. Step 6: Final answer
    x = 69,651.95

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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.