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Finding the Fourth Proportional to 41,901.84, 57,824.44 and 23,039.28

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Solution

The fourth proportional to 41,901.84, 57,824.44 and 23,039.28 is: 31,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,901.84 : 57,824.44 = 23,039.28 : x
  2. Step 2: Convert to fraction form
    41,901.84/57,824.44 = 23,039.28/x
  3. Step 3: Cross multiply
    41,901.84x = 57,824.44 × 23,039.28
  4. Step 4: Simplify right side
    41,901.84x = 1,332,233,464.00
  5. Step 5: Solve for x
    x = 1,332,233,464.00/41,901.84
  6. Step 6: Final answer
    x = 31,794.15

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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.