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Finding the Fourth Proportional to 51,310.25, 76,945.76 and 24,648.64

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Solution

The fourth proportional to 51,310.25, 76,945.76 and 24,648.64 is: 36,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,310.25 : 76,945.76 = 24,648.64 : x
  2. Step 2: Convert to fraction form
    51,310.25/76,945.76 = 24,648.64/x
  3. Step 3: Cross multiply
    51,310.25x = 76,945.76 × 24,648.64
  4. Step 4: Simplify right side
    51,310.25x = 1,896,608,403.14
  5. Step 5: Solve for x
    x = 1,896,608,403.14/51,310.25
  6. Step 6: Final answer
    x = 36,963.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.