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Finding the Fourth Proportional to 50,205.76, 69,283.92 and 27,544.90

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Solution

The fourth proportional to 50,205.76, 69,283.92 and 27,544.90 is: 38,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,205.76 : 69,283.92 = 27,544.90 : x
  2. Step 2: Convert to fraction form
    50,205.76/69,283.92 = 27,544.90/x
  3. Step 3: Cross multiply
    50,205.76x = 69,283.92 × 27,544.90
  4. Step 4: Simplify right side
    50,205.76x = 1,908,418,648.01
  5. Step 5: Solve for x
    x = 1,908,418,648.01/50,205.76
  6. Step 6: Final answer
    x = 38,011.95

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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.