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Finding the Fourth Proportional to 61,092.40, 91,609.84 and 23,670

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Solution

The fourth proportional to 61,092.40, 91,609.84 and 23,670 is: 35,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,092.40 : 91,609.84 = 23,670 : x
  2. Step 2: Convert to fraction form
    61,092.40/91,609.84 = 23,670/x
  3. Step 3: Cross multiply
    61,092.40x = 91,609.84 × 23,670
  4. Step 4: Simplify right side
    61,092.40x = 2,168,404,912.80
  5. Step 5: Solve for x
    x = 2,168,404,912.80/61,092.40
  6. Step 6: Final answer
    x = 35,493.86

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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.