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Finding the Fourth Proportional to 50,156.50, 69,216.09 and 27,800.50

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Solution

The fourth proportional to 50,156.50, 69,216.09 and 27,800.50 is: 38,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,156.50 : 69,216.09 = 27,800.50 : x
  2. Step 2: Convert to fraction form
    50,156.50/69,216.09 = 27,800.50/x
  3. Step 3: Cross multiply
    50,156.50x = 69,216.09 × 27,800.50
  4. Step 4: Simplify right side
    50,156.50x = 1,924,241,910.05
  5. Step 5: Solve for x
    x = 1,924,241,910.05/50,156.50
  6. Step 6: Final answer
    x = 38,364.76

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1.5x scale

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.