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Finding the Fourth Proportional to 50,203.92, 69,282.36 and 27,544.08

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Solution

The fourth proportional to 50,203.92, 69,282.36 and 27,544.08 is: 38,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,203.92 : 69,282.36 = 27,544.08 : x
  2. Step 2: Convert to fraction form
    50,203.92/69,282.36 = 27,544.08/x
  3. Step 3: Cross multiply
    50,203.92x = 69,282.36 × 27,544.08
  4. Step 4: Simplify right side
    50,203.92x = 1,908,318,866.43
  5. Step 5: Solve for x
    x = 1,908,318,866.43/50,203.92
  6. Step 6: Final answer
    x = 38,011.35

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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.