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Finding the Fourth Proportional to 50,336.40, 69,465.04 and 27,676.40

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Solution

The fourth proportional to 50,336.40, 69,465.04 and 27,676.40 is: 38,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,336.40 : 69,465.04 = 27,676.40 : x
  2. Step 2: Convert to fraction form
    50,336.40/69,465.04 = 27,676.40/x
  3. Step 3: Cross multiply
    50,336.40x = 69,465.04 × 27,676.40
  4. Step 4: Simplify right side
    50,336.40x = 1,922,542,233.06
  5. Step 5: Solve for x
    x = 1,922,542,233.06/50,336.40
  6. Step 6: Final answer
    x = 38,193.88

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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.