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Finding the Fourth Proportional to 32,170.88, 48,217.44 and 13,664

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Solution

The fourth proportional to 32,170.88, 48,217.44 and 13,664 is: 20,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.88 : 48,217.44 = 13,664 : x
  2. Step 2: Convert to fraction form
    32,170.88/48,217.44 = 13,664/x
  3. Step 3: Cross multiply
    32,170.88x = 48,217.44 × 13,664
  4. Step 4: Simplify right side
    32,170.88x = 658,843,100.16
  5. Step 5: Solve for x
    x = 658,843,100.16/32,170.88
  6. Step 6: Final answer
    x = 20,479.49

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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.