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Finding the Fourth Proportional to 32,306.44, 48,369.42 and 17,462.20

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Solution

The fourth proportional to 32,306.44, 48,369.42 and 17,462.20 is: 26,144.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306.44 : 48,369.42 = 17,462.20 : x
  2. Step 2: Convert to fraction form
    32,306.44/48,369.42 = 17,462.20/x
  3. Step 3: Cross multiply
    32,306.44x = 48,369.42 × 17,462.20
  4. Step 4: Simplify right side
    32,306.44x = 844,636,485.92
  5. Step 5: Solve for x
    x = 844,636,485.92/32,306.44
  6. Step 6: Final answer
    x = 26,144.52

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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.