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Finding the Fourth Proportional to 96,238.26, 144,376.57 and 29,675.49

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Solution

The fourth proportional to 96,238.26, 144,376.57 and 29,675.49 is: 44,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,238.26 : 144,376.57 = 29,675.49 : x
  2. Step 2: Convert to fraction form
    96,238.26/144,376.57 = 29,675.49/x
  3. Step 3: Cross multiply
    96,238.26x = 144,376.57 × 29,675.49
  4. Step 4: Simplify right side
    96,238.26x = 4,284,445,459.27
  5. Step 5: Solve for x
    x = 4,284,445,459.27/96,238.26
  6. Step 6: Final answer
    x = 44,519.15

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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.