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Finding the Fourth Proportional to 41,474.64, 57,235.38 and 22,612.14

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Solution

The fourth proportional to 41,474.64, 57,235.38 and 22,612.14 is: 31,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,474.64 : 57,235.38 = 22,612.14 : x
  2. Step 2: Convert to fraction form
    41,474.64/57,235.38 = 22,612.14/x
  3. Step 3: Cross multiply
    41,474.64x = 57,235.38 × 22,612.14
  4. Step 4: Simplify right side
    41,474.64x = 1,294,214,425.51
  5. Step 5: Solve for x
    x = 1,294,214,425.51/41,474.64
  6. Step 6: Final answer
    x = 31,204.96

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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.