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Finding the Fourth Proportional to 30,794.28, 42,502.50 and 20,164.20

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Solution

The fourth proportional to 30,794.28, 42,502.50 and 20,164.20 is: 27,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.28 : 42,502.50 = 20,164.20 : x
  2. Step 2: Convert to fraction form
    30,794.28/42,502.50 = 20,164.20/x
  3. Step 3: Cross multiply
    30,794.28x = 42,502.50 × 20,164.20
  4. Step 4: Simplify right side
    30,794.28x = 857,028,910.50
  5. Step 5: Solve for x
    x = 857,028,910.50/30,794.28
  6. Step 6: Final answer
    x = 27,830.78

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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.