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Finding the Fourth Proportional to 100,392, 150,588 and 34,728

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Solution

The fourth proportional to 100,392, 150,588 and 34,728 is: 52,092

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,392 : 150,588 = 34,728 : x
  2. Step 2: Convert to fraction form
    100,392/150,588 = 34,728/x
  3. Step 3: Cross multiply
    100,392x = 150,588 × 34,728
  4. Step 4: Simplify right side
    100,392x = 5,229,620,064
  5. Step 5: Solve for x
    x = 5,229,620,064/100,392
  6. Step 6: Final answer
    x = 52,092

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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.