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Finding the Fourth Proportional to 51,702.44, 71,350.06 and 49,914.36

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Solution

The fourth proportional to 51,702.44, 71,350.06 and 49,914.36 is: 68,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.44 : 71,350.06 = 49,914.36 : x
  2. Step 2: Convert to fraction form
    51,702.44/71,350.06 = 49,914.36/x
  3. Step 3: Cross multiply
    51,702.44x = 71,350.06 × 49,914.36
  4. Step 4: Simplify right side
    51,702.44x = 3,561,392,580.86
  5. Step 5: Solve for x
    x = 3,561,392,580.86/51,702.44
  6. Step 6: Final answer
    x = 68,882.49

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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.