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Finding the Fourth Proportional to 50,338.54, 69,465.71 and 27,677.51

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Solution

The fourth proportional to 50,338.54, 69,465.71 and 27,677.51 is: 38,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,338.54 : 69,465.71 = 27,677.51 : x
  2. Step 2: Convert to fraction form
    50,338.54/69,465.71 = 27,677.51/x
  3. Step 3: Cross multiply
    50,338.54x = 69,465.71 × 27,677.51
  4. Step 4: Simplify right side
    50,338.54x = 1,922,637,865.54
  5. Step 5: Solve for x
    x = 1,922,637,865.54/50,338.54
  6. Step 6: Final answer
    x = 38,194.15

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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.