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Finding the Fourth Proportional to 32,231.97, 48,314.70 and 13,522.87

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Solution

The fourth proportional to 32,231.97, 48,314.70 and 13,522.87 is: 20,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.97 : 48,314.70 = 13,522.87 : x
  2. Step 2: Convert to fraction form
    32,231.97/48,314.70 = 13,522.87/x
  3. Step 3: Cross multiply
    32,231.97x = 48,314.70 × 13,522.87
  4. Step 4: Simplify right side
    32,231.97x = 653,353,339.57
  5. Step 5: Solve for x
    x = 653,353,339.57/32,231.97
  6. Step 6: Final answer
    x = 20,270.35

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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.