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Finding the Fourth Proportional to 41,894.52, 57,814.24 and 22,774.44

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Solution

The fourth proportional to 41,894.52, 57,814.24 and 22,774.44 is: 31,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,894.52 : 57,814.24 = 22,774.44 : x
  2. Step 2: Convert to fraction form
    41,894.52/57,814.24 = 22,774.44/x
  3. Step 3: Cross multiply
    41,894.52x = 57,814.24 × 22,774.44
  4. Step 4: Simplify right side
    41,894.52x = 1,316,686,940.03
  5. Step 5: Solve for x
    x = 1,316,686,940.03/41,894.52
  6. Step 6: Final answer
    x = 31,428.62

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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.