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Finding the Fourth Proportional to 50,093.36, 69,131.16 and 27,737.84

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Solution

The fourth proportional to 50,093.36, 69,131.16 and 27,737.84 is: 38,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,093.36 : 69,131.16 = 27,737.84 : x
  2. Step 2: Convert to fraction form
    50,093.36/69,131.16 = 27,737.84/x
  3. Step 3: Cross multiply
    50,093.36x = 69,131.16 × 27,737.84
  4. Step 4: Simplify right side
    50,093.36x = 1,917,549,055.09
  5. Step 5: Solve for x
    x = 1,917,549,055.09/50,093.36
  6. Step 6: Final answer
    x = 38,279.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.