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Finding the Fourth Proportional to 32,080.14, 48,122.16 and 12,358.75

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Solution

The fourth proportional to 32,080.14, 48,122.16 and 12,358.75 is: 18,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.14 : 48,122.16 = 12,358.75 : x
  2. Step 2: Convert to fraction form
    32,080.14/48,122.16 = 12,358.75/x
  3. Step 3: Cross multiply
    32,080.14x = 48,122.16 × 12,358.75
  4. Step 4: Simplify right side
    32,080.14x = 594,729,744.90
  5. Step 5: Solve for x
    x = 594,729,744.90/32,080.14
  6. Step 6: Final answer
    x = 18,538.88

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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.