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Finding the Fourth Proportional to 32,080.68, 48,086.46 and 12,353.40

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Solution

The fourth proportional to 32,080.68, 48,086.46 and 12,353.40 is: 18,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.68 : 48,086.46 = 12,353.40 : x
  2. Step 2: Convert to fraction form
    32,080.68/48,086.46 = 12,353.40/x
  3. Step 3: Cross multiply
    32,080.68x = 48,086.46 × 12,353.40
  4. Step 4: Simplify right side
    32,080.68x = 594,031,274.96
  5. Step 5: Solve for x
    x = 594,031,274.96/32,080.68
  6. Step 6: Final answer
    x = 18,516.79

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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.