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Finding the Fourth Proportional to 83,385.96, 125,102.33 and 33,501.09

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Solution

The fourth proportional to 83,385.96, 125,102.33 and 33,501.09 is: 50,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,385.96 : 125,102.33 = 33,501.09 : x
  2. Step 2: Convert to fraction form
    83,385.96/125,102.33 = 33,501.09/x
  3. Step 3: Cross multiply
    83,385.96x = 125,102.33 × 33,501.09
  4. Step 4: Simplify right side
    83,385.96x = 4,191,064,249.03
  5. Step 5: Solve for x
    x = 4,191,064,249.03/83,385.96
  6. Step 6: Final answer
    x = 50,261.03

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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.