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Finding the Fourth Proportional to 32,212.29, 48,317.84 and 13,232.90

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Solution

The fourth proportional to 32,212.29, 48,317.84 and 13,232.90 is: 19,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,212.29 : 48,317.84 = 13,232.90 : x
  2. Step 2: Convert to fraction form
    32,212.29/48,317.84 = 13,232.90/x
  3. Step 3: Cross multiply
    32,212.29x = 48,317.84 × 13,232.90
  4. Step 4: Simplify right side
    32,212.29x = 639,384,936.43
  5. Step 5: Solve for x
    x = 639,384,936.43/32,212.29
  6. Step 6: Final answer
    x = 19,849.10

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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.