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Finding the Fourth Proportional to 50,096.68, 69,134.98 and 27,742.76

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Solution

The fourth proportional to 50,096.68, 69,134.98 and 27,742.76 is: 38,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,096.68 : 69,134.98 = 27,742.76 : x
  2. Step 2: Convert to fraction form
    50,096.68/69,134.98 = 27,742.76/x
  3. Step 3: Cross multiply
    50,096.68x = 69,134.98 × 27,742.76
  4. Step 4: Simplify right side
    50,096.68x = 1,917,995,157.74
  5. Step 5: Solve for x
    x = 1,917,995,157.74/50,096.68
  6. Step 6: Final answer
    x = 38,285.87

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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.