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Finding the Fourth Proportional to 32,150.86, 48,226.30 and 13,420.68

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Solution

The fourth proportional to 32,150.86, 48,226.30 and 13,420.68 is: 20,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.86 : 48,226.30 = 13,420.68 : x
  2. Step 2: Convert to fraction form
    32,150.86/48,226.30 = 13,420.68/x
  3. Step 3: Cross multiply
    32,150.86x = 48,226.30 × 13,420.68
  4. Step 4: Simplify right side
    32,150.86x = 647,229,672.78
  5. Step 5: Solve for x
    x = 647,229,672.78/32,150.86
  6. Step 6: Final answer
    x = 20,131.02

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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.