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Finding the Fourth Proportional to 30,273.52, 45,398.76 and 13,846

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Solution

The fourth proportional to 30,273.52, 45,398.76 and 13,846 is: 20,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,273.52 : 45,398.76 = 13,846 : x
  2. Step 2: Convert to fraction form
    30,273.52/45,398.76 = 13,846/x
  3. Step 3: Cross multiply
    30,273.52x = 45,398.76 × 13,846
  4. Step 4: Simplify right side
    30,273.52x = 628,591,230.96
  5. Step 5: Solve for x
    x = 628,591,230.96/30,273.52
  6. Step 6: Final answer
    x = 20,763.73

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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.