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Finding the Fourth Proportional to 48,963.10, 73,447.44 and 13,900

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Solution

The fourth proportional to 48,963.10, 73,447.44 and 13,900 is: 20,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,963.10 : 73,447.44 = 13,900 : x
  2. Step 2: Convert to fraction form
    48,963.10/73,447.44 = 13,900/x
  3. Step 3: Cross multiply
    48,963.10x = 73,447.44 × 13,900
  4. Step 4: Simplify right side
    48,963.10x = 1,020,919,416
  5. Step 5: Solve for x
    x = 1,020,919,416/48,963.10
  6. Step 6: Final answer
    x = 20,850.79

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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.