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Finding the Fourth Proportional to 41,148, 61,722 and 16,524

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Solution

The fourth proportional to 41,148, 61,722 and 16,524 is: 24,786

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,148 : 61,722 = 16,524 : x
  2. Step 2: Convert to fraction form
    41,148/61,722 = 16,524/x
  3. Step 3: Cross multiply
    41,148x = 61,722 × 16,524
  4. Step 4: Simplify right side
    41,148x = 1,019,894,328
  5. Step 5: Solve for x
    x = 1,019,894,328/41,148
  6. Step 6: Final answer
    x = 24,786

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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.