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Finding the Fourth Proportional to 41,838, 57,736.50 and 22,976.40

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Solution

The fourth proportional to 41,838, 57,736.50 and 22,976.40 is: 31,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,838 : 57,736.50 = 22,976.40 : x
  2. Step 2: Convert to fraction form
    41,838/57,736.50 = 22,976.40/x
  3. Step 3: Cross multiply
    41,838x = 57,736.50 × 22,976.40
  4. Step 4: Simplify right side
    41,838x = 1,326,576,918.60
  5. Step 5: Solve for x
    x = 1,326,576,918.60/41,838
  6. Step 6: Final answer
    x = 31,707.46

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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.