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Finding the Fourth Proportional to 32,164.39, 48,251.24 and 12,168.46

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Solution

The fourth proportional to 32,164.39, 48,251.24 and 12,168.46 is: 18,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.39 : 48,251.24 = 12,168.46 : x
  2. Step 2: Convert to fraction form
    32,164.39/48,251.24 = 12,168.46/x
  3. Step 3: Cross multiply
    32,164.39x = 48,251.24 × 12,168.46
  4. Step 4: Simplify right side
    32,164.39x = 587,143,283.89
  5. Step 5: Solve for x
    x = 587,143,283.89/32,164.39
  6. Step 6: Final answer
    x = 18,254.45

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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.