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Finding the Fourth Proportional to 32,151.49, 48,234.83 and 13,421.12

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Solution

The fourth proportional to 32,151.49, 48,234.83 and 13,421.12 is: 20,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.49 : 48,234.83 = 13,421.12 : x
  2. Step 2: Convert to fraction form
    32,151.49/48,234.83 = 13,421.12/x
  3. Step 3: Cross multiply
    32,151.49x = 48,234.83 × 13,421.12
  4. Step 4: Simplify right side
    32,151.49x = 647,365,133.33
  5. Step 5: Solve for x
    x = 647,365,133.33/32,151.49
  6. Step 6: Final answer
    x = 20,134.84

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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.