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Finding the Fourth Proportional to 95,633.50, 143,473.29 and 29,969.50

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Solution

The fourth proportional to 95,633.50, 143,473.29 and 29,969.50 is: 44,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,633.50 : 143,473.29 = 29,969.50 : x
  2. Step 2: Convert to fraction form
    95,633.50/143,473.29 = 29,969.50/x
  3. Step 3: Cross multiply
    95,633.50x = 143,473.29 × 29,969.50
  4. Step 4: Simplify right side
    95,633.50x = 4,299,822,764.66
  5. Step 5: Solve for x
    x = 4,299,822,764.66/95,633.50
  6. Step 6: Final answer
    x = 44,961.47

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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.