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Finding the Fourth Proportional to 48,003.76, 66,242.04 and 30,098

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Solution

The fourth proportional to 48,003.76, 66,242.04 and 30,098 is: 41,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,003.76 : 66,242.04 = 30,098 : x
  2. Step 2: Convert to fraction form
    48,003.76/66,242.04 = 30,098/x
  3. Step 3: Cross multiply
    48,003.76x = 66,242.04 × 30,098
  4. Step 4: Simplify right side
    48,003.76x = 1,993,752,919.92
  5. Step 5: Solve for x
    x = 1,993,752,919.92/48,003.76
  6. Step 6: Final answer
    x = 41,533.27

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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.