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Finding the Fourth Proportional to 65,186.73, 97,765.34 and 30,092.49

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Solution

The fourth proportional to 65,186.73, 97,765.34 and 30,092.49 is: 45,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186.73 : 97,765.34 = 30,092.49 : x
  2. Step 2: Convert to fraction form
    65,186.73/97,765.34 = 30,092.49/x
  3. Step 3: Cross multiply
    65,186.73x = 97,765.34 × 30,092.49
  4. Step 4: Simplify right side
    65,186.73x = 2,942,002,365.83
  5. Step 5: Solve for x
    x = 2,942,002,365.83/65,186.73
  6. Step 6: Final answer
    x = 45,131.92

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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.