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Finding the Fourth Proportional to 50,039.92, 69,054 and 27,378.82

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Solution

The fourth proportional to 50,039.92, 69,054 and 27,378.82 is: 37,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,039.92 : 69,054 = 27,378.82 : x
  2. Step 2: Convert to fraction form
    50,039.92/69,054 = 27,378.82/x
  3. Step 3: Cross multiply
    50,039.92x = 69,054 × 27,378.82
  4. Step 4: Simplify right side
    50,039.92x = 1,890,617,036.28
  5. Step 5: Solve for x
    x = 1,890,617,036.28/50,039.92
  6. Step 6: Final answer
    x = 37,782.18

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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.