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Finding the Fourth Proportional to 102,760, 154,140 and 24,936

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Solution

The fourth proportional to 102,760, 154,140 and 24,936 is: 37,404

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,760 : 154,140 = 24,936 : x
  2. Step 2: Convert to fraction form
    102,760/154,140 = 24,936/x
  3. Step 3: Cross multiply
    102,760x = 154,140 × 24,936
  4. Step 4: Simplify right side
    102,760x = 3,843,635,040
  5. Step 5: Solve for x
    x = 3,843,635,040/102,760
  6. Step 6: Final answer
    x = 37,404

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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.