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Finding the Fourth Proportional to 83,752.38, 115,583.74 and 51,942.46

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Solution

The fourth proportional to 83,752.38, 115,583.74 and 51,942.46 is: 71,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,752.38 : 115,583.74 = 51,942.46 : x
  2. Step 2: Convert to fraction form
    83,752.38/115,583.74 = 51,942.46/x
  3. Step 3: Cross multiply
    83,752.38x = 115,583.74 × 51,942.46
  4. Step 4: Simplify right side
    83,752.38x = 6,003,703,791.60
  5. Step 5: Solve for x
    x = 6,003,703,791.60/83,752.38
  6. Step 6: Final answer
    x = 71,683.98

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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.