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Finding the Fourth Proportional to 30,956.40, 42,730.20 and 20,202.48

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Solution

The fourth proportional to 30,956.40, 42,730.20 and 20,202.48 is: 27,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,956.40 : 42,730.20 = 20,202.48 : x
  2. Step 2: Convert to fraction form
    30,956.40/42,730.20 = 20,202.48/x
  3. Step 3: Cross multiply
    30,956.40x = 42,730.20 × 20,202.48
  4. Step 4: Simplify right side
    30,956.40x = 863,256,010.90
  5. Step 5: Solve for x
    x = 863,256,010.90/30,956.40
  6. Step 6: Final answer
    x = 27,886.19

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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.