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Finding the Fourth Proportional to 50,728.70, 69,993.02 and 32,802.14

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Solution

The fourth proportional to 50,728.70, 69,993.02 and 32,802.14 is: 45,258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,728.70 : 69,993.02 = 32,802.14 : x
  2. Step 2: Convert to fraction form
    50,728.70/69,993.02 = 32,802.14/x
  3. Step 3: Cross multiply
    50,728.70x = 69,993.02 × 32,802.14
  4. Step 4: Simplify right side
    50,728.70x = 2,295,920,327.09
  5. Step 5: Solve for x
    x = 2,295,920,327.09/50,728.70
  6. Step 6: Final answer
    x = 45,258.81

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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.