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Finding the Fourth Proportional to 41,094, 56,709.72 and 22,231.13

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Solution

The fourth proportional to 41,094, 56,709.72 and 22,231.13 is: 30,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,094 : 56,709.72 = 22,231.13 : x
  2. Step 2: Convert to fraction form
    41,094/56,709.72 = 22,231.13/x
  3. Step 3: Cross multiply
    41,094x = 56,709.72 × 22,231.13
  4. Step 4: Simplify right side
    41,094x = 1,260,720,874.04
  5. Step 5: Solve for x
    x = 1,260,720,874.04/41,094
  6. Step 6: Final answer
    x = 30,678.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.