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Finding the Fourth Proportional to 96,291.54, 144,452.88 and 29,716.11

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Solution

The fourth proportional to 96,291.54, 144,452.88 and 29,716.11 is: 44,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,291.54 : 144,452.88 = 29,716.11 : x
  2. Step 2: Convert to fraction form
    96,291.54/144,452.88 = 29,716.11/x
  3. Step 3: Cross multiply
    96,291.54x = 144,452.88 × 29,716.11
  4. Step 4: Simplify right side
    96,291.54x = 4,292,577,671.90
  5. Step 5: Solve for x
    x = 4,292,577,671.90/96,291.54
  6. Step 6: Final answer
    x = 44,578.97

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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.