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Finding the Fourth Proportional to 41,226.04, 61,840.14 and 11,647

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Solution

The fourth proportional to 41,226.04, 61,840.14 and 11,647 is: 17,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226.04 : 61,840.14 = 11,647 : x
  2. Step 2: Convert to fraction form
    41,226.04/61,840.14 = 11,647/x
  3. Step 3: Cross multiply
    41,226.04x = 61,840.14 × 11,647
  4. Step 4: Simplify right side
    41,226.04x = 720,252,110.58
  5. Step 5: Solve for x
    x = 720,252,110.58/41,226.04
  6. Step 6: Final answer
    x = 17,470.81

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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.