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Finding the Fourth Proportional to 83,843.44, 115,703.40 and 47,551.80

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Solution

The fourth proportional to 83,843.44, 115,703.40 and 47,551.80 is: 65,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.44 : 115,703.40 = 47,551.80 : x
  2. Step 2: Convert to fraction form
    83,843.44/115,703.40 = 47,551.80/x
  3. Step 3: Cross multiply
    83,843.44x = 115,703.40 × 47,551.80
  4. Step 4: Simplify right side
    83,843.44x = 5,501,904,936.12
  5. Step 5: Solve for x
    x = 5,501,904,936.12/83,843.44
  6. Step 6: Final answer
    x = 65,621.17

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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.