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Finding the Fourth Proportional to 51,077.38, 70,428.66 and 35,965.21

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Solution

The fourth proportional to 51,077.38, 70,428.66 and 35,965.21 is: 49,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,077.38 : 70,428.66 = 35,965.21 : x
  2. Step 2: Convert to fraction form
    51,077.38/70,428.66 = 35,965.21/x
  3. Step 3: Cross multiply
    51,077.38x = 70,428.66 × 35,965.21
  4. Step 4: Simplify right side
    51,077.38x = 2,532,981,546.92
  5. Step 5: Solve for x
    x = 2,532,981,546.92/51,077.38
  6. Step 6: Final answer
    x = 49,591.06

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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.