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Finding the Fourth Proportional to 41,092.32, 61,644.78 and 17,400

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Solution

The fourth proportional to 41,092.32, 61,644.78 and 17,400 is: 26,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,092.32 : 61,644.78 = 17,400 : x
  2. Step 2: Convert to fraction form
    41,092.32/61,644.78 = 17,400/x
  3. Step 3: Cross multiply
    41,092.32x = 61,644.78 × 17,400
  4. Step 4: Simplify right side
    41,092.32x = 1,072,619,172
  5. Step 5: Solve for x
    x = 1,072,619,172/41,092.32
  6. Step 6: Final answer
    x = 26,102.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.