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Finding the Fourth Proportional to 83,260, 114,896.46 and 45,533.44

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Solution

The fourth proportional to 83,260, 114,896.46 and 45,533.44 is: 62,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,260 : 114,896.46 = 45,533.44 : x
  2. Step 2: Convert to fraction form
    83,260/114,896.46 = 45,533.44/x
  3. Step 3: Cross multiply
    83,260x = 114,896.46 × 45,533.44
  4. Step 4: Simplify right side
    83,260x = 5,231,631,067.62
  5. Step 5: Solve for x
    x = 5,231,631,067.62/83,260
  6. Step 6: Final answer
    x = 62,834.87

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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.