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Finding the Fourth Proportional to 96,408.47, 144,524.14 and 33,213.58

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Solution

The fourth proportional to 96,408.47, 144,524.14 and 33,213.58 is: 49,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,408.47 : 144,524.14 = 33,213.58 : x
  2. Step 2: Convert to fraction form
    96,408.47/144,524.14 = 33,213.58/x
  3. Step 3: Cross multiply
    96,408.47x = 144,524.14 × 33,213.58
  4. Step 4: Simplify right side
    96,408.47x = 4,800,163,641.48
  5. Step 5: Solve for x
    x = 4,800,163,641.48/96,408.47
  6. Step 6: Final answer
    x = 49,789.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.