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Finding the Fourth Proportional to 96,114.39, 144,185.42 and 29,560.13

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Solution

The fourth proportional to 96,114.39, 144,185.42 and 29,560.13 is: 44,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,114.39 : 144,185.42 = 29,560.13 : x
  2. Step 2: Convert to fraction form
    96,114.39/144,185.42 = 29,560.13/x
  3. Step 3: Cross multiply
    96,114.39x = 144,185.42 × 29,560.13
  4. Step 4: Simplify right side
    96,114.39x = 4,262,139,759.30
  5. Step 5: Solve for x
    x = 4,262,139,759.30/96,114.39
  6. Step 6: Final answer
    x = 44,344.45

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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.