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Finding the Fourth Proportional to 32,778.85, 49,168.29 and 8,154.85

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Solution

The fourth proportional to 32,778.85, 49,168.29 and 8,154.85 is: 12,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.85 : 49,168.29 = 8,154.85 : x
  2. Step 2: Convert to fraction form
    32,778.85/49,168.29 = 8,154.85/x
  3. Step 3: Cross multiply
    32,778.85x = 49,168.29 × 8,154.85
  4. Step 4: Simplify right side
    32,778.85x = 400,960,029.71
  5. Step 5: Solve for x
    x = 400,960,029.71/32,778.85
  6. Step 6: Final answer
    x = 12,232.28

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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.