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Finding the Fourth Proportional to 32,224.10, 48,278.90 and 13,462.81

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Solution

The fourth proportional to 32,224.10, 48,278.90 and 13,462.81 is: 20,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224.10 : 48,278.90 = 13,462.81 : x
  2. Step 2: Convert to fraction form
    32,224.10/48,278.90 = 13,462.81/x
  3. Step 3: Cross multiply
    32,224.10x = 48,278.90 × 13,462.81
  4. Step 4: Simplify right side
    32,224.10x = 649,969,570.67
  5. Step 5: Solve for x
    x = 649,969,570.67/32,224.10
  6. Step 6: Final answer
    x = 20,170.30

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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.