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Finding the Fourth Proportional to 96,073.24, 144,109.86 and 33,729.16

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Solution

The fourth proportional to 96,073.24, 144,109.86 and 33,729.16 is: 50,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,073.24 : 144,109.86 = 33,729.16 : x
  2. Step 2: Convert to fraction form
    96,073.24/144,109.86 = 33,729.16/x
  3. Step 3: Cross multiply
    96,073.24x = 144,109.86 × 33,729.16
  4. Step 4: Simplify right side
    96,073.24x = 4,860,704,525.52
  5. Step 5: Solve for x
    x = 4,860,704,525.52/96,073.24
  6. Step 6: Final answer
    x = 50,593.74

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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.