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Finding the Fourth Proportional to 48,674, 73,011 and 11,738

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Solution

The fourth proportional to 48,674, 73,011 and 11,738 is: 17,607

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,674 : 73,011 = 11,738 : x
  2. Step 2: Convert to fraction form
    48,674/73,011 = 11,738/x
  3. Step 3: Cross multiply
    48,674x = 73,011 × 11,738
  4. Step 4: Simplify right side
    48,674x = 857,003,118
  5. Step 5: Solve for x
    x = 857,003,118/48,674
  6. Step 6: Final answer
    x = 17,607

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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.