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Finding the Fourth Proportional to 32,171.19, 48,243.42 and 12,438.38

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Solution

The fourth proportional to 32,171.19, 48,243.42 and 12,438.38 is: 18,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.19 : 48,243.42 = 12,438.38 : x
  2. Step 2: Convert to fraction form
    32,171.19/48,243.42 = 12,438.38/x
  3. Step 3: Cross multiply
    32,171.19x = 48,243.42 × 12,438.38
  4. Step 4: Simplify right side
    32,171.19x = 600,069,749.24
  5. Step 5: Solve for x
    x = 600,069,749.24/32,171.19
  6. Step 6: Final answer
    x = 18,652.40

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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.