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Finding the Fourth Proportional to 67,743, 101,638.94 and 36,119.79

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Solution

The fourth proportional to 67,743, 101,638.94 and 36,119.79 is: 54,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,743 : 101,638.94 = 36,119.79 : x
  2. Step 2: Convert to fraction form
    67,743/101,638.94 = 36,119.79/x
  3. Step 3: Cross multiply
    67,743x = 101,638.94 × 36,119.79
  4. Step 4: Simplify right side
    67,743x = 3,671,176,988.02
  5. Step 5: Solve for x
    x = 3,671,176,988.02/67,743
  6. Step 6: Final answer
    x = 54,192.71

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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.