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Finding the Fourth Proportional to 32,664.85, 48,997.55 and 10,478.41

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Solution

The fourth proportional to 32,664.85, 48,997.55 and 10,478.41 is: 15,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,664.85 : 48,997.55 = 10,478.41 : x
  2. Step 2: Convert to fraction form
    32,664.85/48,997.55 = 10,478.41/x
  3. Step 3: Cross multiply
    32,664.85x = 48,997.55 × 10,478.41
  4. Step 4: Simplify right side
    32,664.85x = 513,416,365.50
  5. Step 5: Solve for x
    x = 513,416,365.50/32,664.85
  6. Step 6: Final answer
    x = 15,717.70

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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.