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Finding the Fourth Proportional to 41,576, 57,376.14 and 22,714.36

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Solution

The fourth proportional to 41,576, 57,376.14 and 22,714.36 is: 31,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,576 : 57,376.14 = 22,714.36 : x
  2. Step 2: Convert to fraction form
    41,576/57,376.14 = 22,714.36/x
  3. Step 3: Cross multiply
    41,576x = 57,376.14 × 22,714.36
  4. Step 4: Simplify right side
    41,576x = 1,303,262,299.37
  5. Step 5: Solve for x
    x = 1,303,262,299.37/41,576
  6. Step 6: Final answer
    x = 31,346.51

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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.