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Finding the Fourth Proportional to 96,594.40, 144,891.60 and 33,414.40

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Solution

The fourth proportional to 96,594.40, 144,891.60 and 33,414.40 is: 50,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,594.40 : 144,891.60 = 33,414.40 : x
  2. Step 2: Convert to fraction form
    96,594.40/144,891.60 = 33,414.40/x
  3. Step 3: Cross multiply
    96,594.40x = 144,891.60 × 33,414.40
  4. Step 4: Simplify right side
    96,594.40x = 4,841,465,879.04
  5. Step 5: Solve for x
    x = 4,841,465,879.04/96,594.40
  6. Step 6: Final answer
    x = 50,121.60

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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.