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Finding the Fourth Proportional to 49,286.87, 68,015.81 and 28,066.14

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Solution

The fourth proportional to 49,286.87, 68,015.81 and 28,066.14 is: 38,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286.87 : 68,015.81 = 28,066.14 : x
  2. Step 2: Convert to fraction form
    49,286.87/68,015.81 = 28,066.14/x
  3. Step 3: Cross multiply
    49,286.87x = 68,015.81 × 28,066.14
  4. Step 4: Simplify right side
    49,286.87x = 1,908,941,105.34
  5. Step 5: Solve for x
    x = 1,908,941,105.34/49,286.87
  6. Step 6: Final answer
    x = 38,731.23

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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.