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Finding the Fourth Proportional to 50,338.73, 69,465.98 and 27,677.70

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Solution

The fourth proportional to 50,338.73, 69,465.98 and 27,677.70 is: 38,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,338.73 : 69,465.98 = 27,677.70 : x
  2. Step 2: Convert to fraction form
    50,338.73/69,465.98 = 27,677.70/x
  3. Step 3: Cross multiply
    50,338.73x = 69,465.98 × 27,677.70
  4. Step 4: Simplify right side
    50,338.73x = 1,922,658,416.26
  5. Step 5: Solve for x
    x = 1,922,658,416.26/50,338.73
  6. Step 6: Final answer
    x = 38,194.41

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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.