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Finding the Fourth Proportional to 50,206.50, 69,284.97 and 27,854.82

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Solution

The fourth proportional to 50,206.50, 69,284.97 and 27,854.82 is: 38,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,206.50 : 69,284.97 = 27,854.82 : x
  2. Step 2: Convert to fraction form
    50,206.50/69,284.97 = 27,854.82/x
  3. Step 3: Cross multiply
    50,206.50x = 69,284.97 × 27,854.82
  4. Step 4: Simplify right side
    50,206.50x = 1,929,920,368.06
  5. Step 5: Solve for x
    x = 1,929,920,368.06/50,206.50
  6. Step 6: Final answer
    x = 38,439.65

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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.