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Finding the Fourth Proportional to 50,055.36, 75,048.96 and 18,864

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Solution

The fourth proportional to 50,055.36, 75,048.96 and 18,864 is: 28,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,055.36 : 75,048.96 = 18,864 : x
  2. Step 2: Convert to fraction form
    50,055.36/75,048.96 = 18,864/x
  3. Step 3: Cross multiply
    50,055.36x = 75,048.96 × 18,864
  4. Step 4: Simplify right side
    50,055.36x = 1,415,723,581.44
  5. Step 5: Solve for x
    x = 1,415,723,581.44/50,055.36
  6. Step 6: Final answer
    x = 28,283.16

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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.