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Finding the Fourth Proportional to 75,679.86, 113,524.11 and 23,092.98

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Solution

The fourth proportional to 75,679.86, 113,524.11 and 23,092.98 is: 34,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679.86 : 113,524.11 = 23,092.98 : x
  2. Step 2: Convert to fraction form
    75,679.86/113,524.11 = 23,092.98/x
  3. Step 3: Cross multiply
    75,679.86x = 113,524.11 × 23,092.98
  4. Step 4: Simplify right side
    75,679.86x = 2,621,610,001.75
  5. Step 5: Solve for x
    x = 2,621,610,001.75/75,679.86
  6. Step 6: Final answer
    x = 34,640.79

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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.