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Finding the Fourth Proportional to 83,285.70, 114,936.99 and 47,475.06

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Solution

The fourth proportional to 83,285.70, 114,936.99 and 47,475.06 is: 65,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,285.70 : 114,936.99 = 47,475.06 : x
  2. Step 2: Convert to fraction form
    83,285.70/114,936.99 = 47,475.06/x
  3. Step 3: Cross multiply
    83,285.70x = 114,936.99 × 47,475.06
  4. Step 4: Simplify right side
    83,285.70x = 5,456,640,496.47
  5. Step 5: Solve for x
    x = 5,456,640,496.47/83,285.70
  6. Step 6: Final answer
    x = 65,517.14

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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.