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Finding the Fourth Proportional to 50,705.64, 69,974.37 and 28,046.49

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Solution

The fourth proportional to 50,705.64, 69,974.37 and 28,046.49 is: 38,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,705.64 : 69,974.37 = 28,046.49 : x
  2. Step 2: Convert to fraction form
    50,705.64/69,974.37 = 28,046.49/x
  3. Step 3: Cross multiply
    50,705.64x = 69,974.37 × 28,046.49
  4. Step 4: Simplify right side
    50,705.64x = 1,962,535,468.46
  5. Step 5: Solve for x
    x = 1,962,535,468.46/50,705.64
  6. Step 6: Final answer
    x = 38,704.48

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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.