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Finding the Fourth Proportional to 44,682, 67,023 and 11,850

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Solution

The fourth proportional to 44,682, 67,023 and 11,850 is: 17,775

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,682 : 67,023 = 11,850 : x
  2. Step 2: Convert to fraction form
    44,682/67,023 = 11,850/x
  3. Step 3: Cross multiply
    44,682x = 67,023 × 11,850
  4. Step 4: Simplify right side
    44,682x = 794,222,550
  5. Step 5: Solve for x
    x = 794,222,550/44,682
  6. Step 6: Final answer
    x = 17,775

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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.