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Finding the Fourth Proportional to 41,694.52, 57,537.86 and 22,831.64

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Solution

The fourth proportional to 41,694.52, 57,537.86 and 22,831.64 is: 31,507.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,694.52 : 57,537.86 = 22,831.64 : x
  2. Step 2: Convert to fraction form
    41,694.52/57,537.86 = 22,831.64/x
  3. Step 3: Cross multiply
    41,694.52x = 57,537.86 × 22,831.64
  4. Step 4: Simplify right side
    41,694.52x = 1,313,683,705.89
  5. Step 5: Solve for x
    x = 1,313,683,705.89/41,694.52
  6. Step 6: Final answer
    x = 31,507.35

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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.