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Finding the Fourth Proportional to 30,200.20, 45,257.10 and 20,955.40

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Solution

The fourth proportional to 30,200.20, 45,257.10 and 20,955.40 is: 31,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.20 : 45,257.10 = 20,955.40 : x
  2. Step 2: Convert to fraction form
    30,200.20/45,257.10 = 20,955.40/x
  3. Step 3: Cross multiply
    30,200.20x = 45,257.10 × 20,955.40
  4. Step 4: Simplify right side
    30,200.20x = 948,380,633.34
  5. Step 5: Solve for x
    x = 948,380,633.34/30,200.20
  6. Step 6: Final answer
    x = 31,403.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.