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Finding the Fourth Proportional to 67,800, 101,700 and 24,024

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Solution

The fourth proportional to 67,800, 101,700 and 24,024 is: 36,036

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,800 : 101,700 = 24,024 : x
  2. Step 2: Convert to fraction form
    67,800/101,700 = 24,024/x
  3. Step 3: Cross multiply
    67,800x = 101,700 × 24,024
  4. Step 4: Simplify right side
    67,800x = 2,443,240,800
  5. Step 5: Solve for x
    x = 2,443,240,800/67,800
  6. Step 6: Final answer
    x = 36,036

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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.