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Finding the Fourth Proportional to 96,408.11, 144,584.21 and 37,230.32

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Solution

The fourth proportional to 96,408.11, 144,584.21 and 37,230.32 is: 55,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408.11 : 144,584.21 = 37,230.32 : x
  2. Step 2: Convert to fraction form
    96,408.11/144,584.21 = 37,230.32/x
  3. Step 3: Cross multiply
    96,408.11x = 144,584.21 × 37,230.32
  4. Step 4: Simplify right side
    96,408.11x = 5,382,915,496.17
  5. Step 5: Solve for x
    x = 5,382,915,496.17/96,408.11
  6. Step 6: Final answer
    x = 55,834.68

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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.