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Finding the Fourth Proportional to 41,728, 57,587.20 and 24,064

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Solution

The fourth proportional to 41,728, 57,587.20 and 24,064 is: 33,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,728 : 57,587.20 = 24,064 : x
  2. Step 2: Convert to fraction form
    41,728/57,587.20 = 24,064/x
  3. Step 3: Cross multiply
    41,728x = 57,587.20 × 24,064
  4. Step 4: Simplify right side
    41,728x = 1,385,778,380.80
  5. Step 5: Solve for x
    x = 1,385,778,380.80/41,728
  6. Step 6: Final answer
    x = 33,209.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.