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Finding the Fourth Proportional to 32,855.32, 49,318.05 and 14,144.62

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Solution

The fourth proportional to 32,855.32, 49,318.05 and 14,144.62 is: 21,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,855.32 : 49,318.05 = 14,144.62 : x
  2. Step 2: Convert to fraction form
    32,855.32/49,318.05 = 14,144.62/x
  3. Step 3: Cross multiply
    32,855.32x = 49,318.05 × 14,144.62
  4. Step 4: Simplify right side
    32,855.32x = 697,585,076.39
  5. Step 5: Solve for x
    x = 697,585,076.39/32,855.32
  6. Step 6: Final answer
    x = 21,232.03

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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.