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Finding the Fourth Proportional to 30,487.28, 42,022.12 and 20,412.16

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Solution

The fourth proportional to 30,487.28, 42,022.12 and 20,412.16 is: 28,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,487.28 : 42,022.12 = 20,412.16 : x
  2. Step 2: Convert to fraction form
    30,487.28/42,022.12 = 20,412.16/x
  3. Step 3: Cross multiply
    30,487.28x = 42,022.12 × 20,412.16
  4. Step 4: Simplify right side
    30,487.28x = 857,762,236.98
  5. Step 5: Solve for x
    x = 857,762,236.98/30,487.28
  6. Step 6: Final answer
    x = 28,135.09

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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.