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Finding the Fourth Proportional to 32,200.74, 48,311.24 and 14,446.55

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Solution

The fourth proportional to 32,200.74, 48,311.24 and 14,446.55 is: 21,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.74 : 48,311.24 = 14,446.55 : x
  2. Step 2: Convert to fraction form
    32,200.74/48,311.24 = 14,446.55/x
  3. Step 3: Cross multiply
    32,200.74x = 48,311.24 × 14,446.55
  4. Step 4: Simplify right side
    32,200.74x = 697,930,792.77
  5. Step 5: Solve for x
    x = 697,930,792.77/32,200.74
  6. Step 6: Final answer
    x = 21,674.37

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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.