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Finding the Fourth Proportional to 45,391.44, 68,047.20 and 17,670

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Solution

The fourth proportional to 45,391.44, 68,047.20 and 17,670 is: 26,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,391.44 : 68,047.20 = 17,670 : x
  2. Step 2: Convert to fraction form
    45,391.44/68,047.20 = 17,670/x
  3. Step 3: Cross multiply
    45,391.44x = 68,047.20 × 17,670
  4. Step 4: Simplify right side
    45,391.44x = 1,202,394,024
  5. Step 5: Solve for x
    x = 1,202,394,024/45,391.44
  6. Step 6: Final answer
    x = 26,489.44

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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.