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Finding the Fourth Proportional to 32,105.50, 48,153.49 and 12,381.60

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Solution

The fourth proportional to 32,105.50, 48,153.49 and 12,381.60 is: 18,570.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,105.50 : 48,153.49 = 12,381.60 : x
  2. Step 2: Convert to fraction form
    32,105.50/48,153.49 = 12,381.60/x
  3. Step 3: Cross multiply
    32,105.50x = 48,153.49 × 12,381.60
  4. Step 4: Simplify right side
    32,105.50x = 596,217,251.78
  5. Step 5: Solve for x
    x = 596,217,251.78/32,105.50
  6. Step 6: Final answer
    x = 18,570.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.