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Finding the Fourth Proportional to 51,982.70, 77,864.70 and 43,234.70

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Solution

The fourth proportional to 51,982.70, 77,864.70 and 43,234.70 is: 64,761.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.70 : 77,864.70 = 43,234.70 : x
  2. Step 2: Convert to fraction form
    51,982.70/77,864.70 = 43,234.70/x
  3. Step 3: Cross multiply
    51,982.70x = 77,864.70 × 43,234.70
  4. Step 4: Simplify right side
    51,982.70x = 3,366,456,945.09
  5. Step 5: Solve for x
    x = 3,366,456,945.09/51,982.70
  6. Step 6: Final answer
    x = 64,761.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.