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Finding the Fourth Proportional to 32,217.53, 48,345.12 and 13,495.97

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Solution

The fourth proportional to 32,217.53, 48,345.12 and 13,495.97 is: 20,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,217.53 : 48,345.12 = 13,495.97 : x
  2. Step 2: Convert to fraction form
    32,217.53/48,345.12 = 13,495.97/x
  3. Step 3: Cross multiply
    32,217.53x = 48,345.12 × 13,495.97
  4. Step 4: Simplify right side
    32,217.53x = 652,464,410.03
  5. Step 5: Solve for x
    x = 652,464,410.03/32,217.53
  6. Step 6: Final answer
    x = 20,251.85

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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.