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Finding the Fourth Proportional to 50,311.90, 69,427.05 and 27,650.40

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Solution

The fourth proportional to 50,311.90, 69,427.05 and 27,650.40 is: 38,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,311.90 : 69,427.05 = 27,650.40 : x
  2. Step 2: Convert to fraction form
    50,311.90/69,427.05 = 27,650.40/x
  3. Step 3: Cross multiply
    50,311.90x = 69,427.05 × 27,650.40
  4. Step 4: Simplify right side
    50,311.90x = 1,919,685,703.32
  5. Step 5: Solve for x
    x = 1,919,685,703.32/50,311.90
  6. Step 6: Final answer
    x = 38,155.70

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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.