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Finding the Fourth Proportional to 96,185.50, 144,293.75 and 29,625.60

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Solution

The fourth proportional to 96,185.50, 144,293.75 and 29,625.60 is: 44,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,185.50 : 144,293.75 = 29,625.60 : x
  2. Step 2: Convert to fraction form
    96,185.50/144,293.75 = 29,625.60/x
  3. Step 3: Cross multiply
    96,185.50x = 144,293.75 × 29,625.60
  4. Step 4: Simplify right side
    96,185.50x = 4,274,788,198.53
  5. Step 5: Solve for x
    x = 4,274,788,198.53/96,185.50
  6. Step 6: Final answer
    x = 44,443.17

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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.