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Finding the Fourth Proportional to 39,938.25, 55,114.79 and 22,274.25

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Solution

The fourth proportional to 39,938.25, 55,114.79 and 22,274.25 is: 30,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,938.25 : 55,114.79 = 22,274.25 : x
  2. Step 2: Convert to fraction form
    39,938.25/55,114.79 = 22,274.25/x
  3. Step 3: Cross multiply
    39,938.25x = 55,114.79 × 22,274.25
  4. Step 4: Simplify right side
    39,938.25x = 1,227,640,499.79
  5. Step 5: Solve for x
    x = 1,227,640,499.79/39,938.25
  6. Step 6: Final answer
    x = 30,738.47

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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.