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Finding the Fourth Proportional to 83,147.40, 114,743.38 and 44,906.97

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Solution

The fourth proportional to 83,147.40, 114,743.38 and 44,906.97 is: 61,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147.40 : 114,743.38 = 44,906.97 : x
  2. Step 2: Convert to fraction form
    83,147.40/114,743.38 = 44,906.97/x
  3. Step 3: Cross multiply
    83,147.40x = 114,743.38 × 44,906.97
  4. Step 4: Simplify right side
    83,147.40x = 5,152,777,523.36
  5. Step 5: Solve for x
    x = 5,152,777,523.36/83,147.40
  6. Step 6: Final answer
    x = 61,971.60

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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.