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Finding the Fourth Proportional to 50,340.25, 69,471.05 and 27,678.07

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Solution

The fourth proportional to 50,340.25, 69,471.05 and 27,678.07 is: 38,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340.25 : 69,471.05 = 27,678.07 : x
  2. Step 2: Convert to fraction form
    50,340.25/69,471.05 = 27,678.07/x
  3. Step 3: Cross multiply
    50,340.25x = 69,471.05 × 27,678.07
  4. Step 4: Simplify right side
    50,340.25x = 1,922,824,237.52
  5. Step 5: Solve for x
    x = 1,922,824,237.52/50,340.25
  6. Step 6: Final answer
    x = 38,196.56

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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.