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Finding the Fourth Proportional to 30,793.84, 42,513.86 and 20,201.88

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Solution

The fourth proportional to 30,793.84, 42,513.86 and 20,201.88 is: 27,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.84 : 42,513.86 = 20,201.88 : x
  2. Step 2: Convert to fraction form
    30,793.84/42,513.86 = 20,201.88/x
  3. Step 3: Cross multiply
    30,793.84x = 42,513.86 × 20,201.88
  4. Step 4: Simplify right side
    30,793.84x = 858,859,898.06
  5. Step 5: Solve for x
    x = 858,859,898.06/30,793.84
  6. Step 6: Final answer
    x = 27,890.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.