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Finding the Fourth Proportional to 32,329.77, 48,494.70 and 10,144.85

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Solution

The fourth proportional to 32,329.77, 48,494.70 and 10,144.85 is: 15,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,329.77 : 48,494.70 = 10,144.85 : x
  2. Step 2: Convert to fraction form
    32,329.77/48,494.70 = 10,144.85/x
  3. Step 3: Cross multiply
    32,329.77x = 48,494.70 × 10,144.85
  4. Step 4: Simplify right side
    32,329.77x = 491,971,214.82
  5. Step 5: Solve for x
    x = 491,971,214.82/32,329.77
  6. Step 6: Final answer
    x = 15,217.28

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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.