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Finding the Fourth Proportional to 32,102.39, 44,200.67 and 29,149.94

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Solution

The fourth proportional to 32,102.39, 44,200.67 and 29,149.94 is: 40,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.39 : 44,200.67 = 29,149.94 : x
  2. Step 2: Convert to fraction form
    32,102.39/44,200.67 = 29,149.94/x
  3. Step 3: Cross multiply
    32,102.39x = 44,200.67 × 29,149.94
  4. Step 4: Simplify right side
    32,102.39x = 1,288,446,511.71
  5. Step 5: Solve for x
    x = 1,288,446,511.71/32,102.39
  6. Step 6: Final answer
    x = 40,135.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.