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Finding the Fourth Proportional to 47,183.92, 65,092.64 and 31,865.49

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Solution

The fourth proportional to 47,183.92, 65,092.64 and 31,865.49 is: 43,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,183.92 : 65,092.64 = 31,865.49 : x
  2. Step 2: Convert to fraction form
    47,183.92/65,092.64 = 31,865.49/x
  3. Step 3: Cross multiply
    47,183.92x = 65,092.64 × 31,865.49
  4. Step 4: Simplify right side
    47,183.92x = 2,074,208,948.66
  5. Step 5: Solve for x
    x = 2,074,208,948.66/47,183.92
  6. Step 6: Final answer
    x = 43,960.08

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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.