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Finding the Fourth Proportional to 50,338.52, 69,465.72 and 27,677.48

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Solution

The fourth proportional to 50,338.52, 69,465.72 and 27,677.48 is: 38,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,338.52 : 69,465.72 = 27,677.48 : x
  2. Step 2: Convert to fraction form
    50,338.52/69,465.72 = 27,677.48/x
  3. Step 3: Cross multiply
    50,338.52x = 69,465.72 × 27,677.48
  4. Step 4: Simplify right side
    50,338.52x = 1,922,636,075.99
  5. Step 5: Solve for x
    x = 1,922,636,075.99/50,338.52
  6. Step 6: Final answer
    x = 38,194.13

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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.