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Finding the Fourth Proportional to 50,846.70, 70,166.58 and 27,876.42

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Solution

The fourth proportional to 50,846.70, 70,166.58 and 27,876.42 is: 38,468.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846.70 : 70,166.58 = 27,876.42 : x
  2. Step 2: Convert to fraction form
    50,846.70/70,166.58 = 27,876.42/x
  3. Step 3: Cross multiply
    50,846.70x = 70,166.58 × 27,876.42
  4. Step 4: Simplify right side
    50,846.70x = 1,955,993,054.04
  5. Step 5: Solve for x
    x = 1,955,993,054.04/50,846.70
  6. Step 6: Final answer
    x = 38,468.44

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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.