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Finding the Fourth Proportional to 20,029, 30,043.49 and 6,881.28

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Solution

The fourth proportional to 20,029, 30,043.49 and 6,881.28 is: 10,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029 : 30,043.49 = 6,881.28 : x
  2. Step 2: Convert to fraction form
    20,029/30,043.49 = 6,881.28/x
  3. Step 3: Cross multiply
    20,029x = 30,043.49 × 6,881.28
  4. Step 4: Simplify right side
    20,029x = 206,737,666.87
  5. Step 5: Solve for x
    x = 206,737,666.87/20,029
  6. Step 6: Final answer
    x = 10,321.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.