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Finding the Fourth Proportional to 57,885, 86,838.78 and 24,604.68

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Solution

The fourth proportional to 57,885, 86,838.78 and 24,604.68 is: 36,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,885 : 86,838.78 = 24,604.68 : x
  2. Step 2: Convert to fraction form
    57,885/86,838.78 = 24,604.68/x
  3. Step 3: Cross multiply
    57,885x = 86,838.78 × 24,604.68
  4. Step 4: Simplify right side
    57,885x = 2,136,640,393.49
  5. Step 5: Solve for x
    x = 2,136,640,393.49/57,885
  6. Step 6: Final answer
    x = 36,911.81

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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.