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Finding the Fourth Proportional to 32,438.68, 48,633.41 and 13,715.22

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Solution

The fourth proportional to 32,438.68, 48,633.41 and 13,715.22 is: 20,562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,438.68 : 48,633.41 = 13,715.22 : x
  2. Step 2: Convert to fraction form
    32,438.68/48,633.41 = 13,715.22/x
  3. Step 3: Cross multiply
    32,438.68x = 48,633.41 × 13,715.22
  4. Step 4: Simplify right side
    32,438.68x = 667,018,134.16
  5. Step 5: Solve for x
    x = 667,018,134.16/32,438.68
  6. Step 6: Final answer
    x = 20,562.43

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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.