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Finding the Fourth Proportional to 50,806.63, 70,113.18 and 27,836.38

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Solution

The fourth proportional to 50,806.63, 70,113.18 and 27,836.38 is: 38,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,806.63 : 70,113.18 = 27,836.38 : x
  2. Step 2: Convert to fraction form
    50,806.63/70,113.18 = 27,836.38/x
  3. Step 3: Cross multiply
    50,806.63x = 70,113.18 × 27,836.38
  4. Step 4: Simplify right side
    50,806.63x = 1,951,697,121.49
  5. Step 5: Solve for x
    x = 1,951,697,121.49/50,806.63
  6. Step 6: Final answer
    x = 38,414.22

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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.