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Finding the Fourth Proportional to 36,881.97, 50,897.28 and 20,969.74

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Solution

The fourth proportional to 36,881.97, 50,897.28 and 20,969.74 is: 28,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,881.97 : 50,897.28 = 20,969.74 : x
  2. Step 2: Convert to fraction form
    36,881.97/50,897.28 = 20,969.74/x
  3. Step 3: Cross multiply
    36,881.97x = 50,897.28 × 20,969.74
  4. Step 4: Simplify right side
    36,881.97x = 1,067,302,728.31
  5. Step 5: Solve for x
    x = 1,067,302,728.31/36,881.97
  6. Step 6: Final answer
    x = 28,938.33

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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.