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Finding the Fourth Proportional to 32,301.76, 48,451.26 and 10,114.65

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Solution

The fourth proportional to 32,301.76, 48,451.26 and 10,114.65 is: 15,171.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,301.76 : 48,451.26 = 10,114.65 : x
  2. Step 2: Convert to fraction form
    32,301.76/48,451.26 = 10,114.65/x
  3. Step 3: Cross multiply
    32,301.76x = 48,451.26 × 10,114.65
  4. Step 4: Simplify right side
    32,301.76x = 490,067,536.96
  5. Step 5: Solve for x
    x = 490,067,536.96/32,301.76
  6. Step 6: Final answer
    x = 15,171.54

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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.