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Finding the Fourth Proportional to 30,194.20, 45,248.10 and 20,949.40

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Solution

The fourth proportional to 30,194.20, 45,248.10 and 20,949.40 is: 31,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.20 : 45,248.10 = 20,949.40 : x
  2. Step 2: Convert to fraction form
    30,194.20/45,248.10 = 20,949.40/x
  3. Step 3: Cross multiply
    30,194.20x = 45,248.10 × 20,949.40
  4. Step 4: Simplify right side
    30,194.20x = 947,920,546.14
  5. Step 5: Solve for x
    x = 947,920,546.14/30,194.20
  6. Step 6: Final answer
    x = 31,394.13

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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.