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Finding the Fourth Proportional to 41,324, 61,995.72 and 13,622

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Solution

The fourth proportional to 41,324, 61,995.72 and 13,622 is: 20,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,324 : 61,995.72 = 13,622 : x
  2. Step 2: Convert to fraction form
    41,324/61,995.72 = 13,622/x
  3. Step 3: Cross multiply
    41,324x = 61,995.72 × 13,622
  4. Step 4: Simplify right side
    41,324x = 844,505,697.84
  5. Step 5: Solve for x
    x = 844,505,697.84/41,324
  6. Step 6: Final answer
    x = 20,436.20

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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.