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Finding the Fourth Proportional to 30,631.28, 42,260.40 and 20,027.12

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Solution

The fourth proportional to 30,631.28, 42,260.40 and 20,027.12 is: 27,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.28 : 42,260.40 = 20,027.12 : x
  2. Step 2: Convert to fraction form
    30,631.28/42,260.40 = 20,027.12/x
  3. Step 3: Cross multiply
    30,631.28x = 42,260.40 × 20,027.12
  4. Step 4: Simplify right side
    30,631.28x = 846,354,102.05
  5. Step 5: Solve for x
    x = 846,354,102.05/30,631.28
  6. Step 6: Final answer
    x = 27,630.39

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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.