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Finding the Fourth Proportional to 51,793.98, 77,636.94 and 35,155.32

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Solution

The fourth proportional to 51,793.98, 77,636.94 and 35,155.32 is: 52,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,793.98 : 77,636.94 = 35,155.32 : x
  2. Step 2: Convert to fraction form
    51,793.98/77,636.94 = 35,155.32/x
  3. Step 3: Cross multiply
    51,793.98x = 77,636.94 × 35,155.32
  4. Step 4: Simplify right side
    51,793.98x = 2,729,351,469.52
  5. Step 5: Solve for x
    x = 2,729,351,469.52/51,793.98
  6. Step 6: Final answer
    x = 52,696.31

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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.