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Finding the Fourth Proportional to 83,742.39, 125,638.02 and 33,796.98

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Solution

The fourth proportional to 83,742.39, 125,638.02 and 33,796.98 is: 50,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,742.39 : 125,638.02 = 33,796.98 : x
  2. Step 2: Convert to fraction form
    83,742.39/125,638.02 = 33,796.98/x
  3. Step 3: Cross multiply
    83,742.39x = 125,638.02 × 33,796.98
  4. Step 4: Simplify right side
    83,742.39x = 4,246,185,649.18
  5. Step 5: Solve for x
    x = 4,246,185,649.18/83,742.39
  6. Step 6: Final answer
    x = 50,705.33

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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.