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Finding the Fourth Proportional to 50,206.56, 69,284.70 and 27,544.92

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Solution

The fourth proportional to 50,206.56, 69,284.70 and 27,544.92 is: 38,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.56 : 69,284.70 = 27,544.92 : x
  2. Step 2: Convert to fraction form
    50,206.56/69,284.70 = 27,544.92/x
  3. Step 3: Cross multiply
    50,206.56x = 69,284.70 × 27,544.92
  4. Step 4: Simplify right side
    50,206.56x = 1,908,441,518.72
  5. Step 5: Solve for x
    x = 1,908,441,518.72/50,206.56
  6. Step 6: Final answer
    x = 38,011.80

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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.