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Finding the Fourth Proportional to 73,778.24, 101,813.76 and 40,244

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Solution

The fourth proportional to 73,778.24, 101,813.76 and 40,244 is: 55,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,778.24 : 101,813.76 = 40,244 : x
  2. Step 2: Convert to fraction form
    73,778.24/101,813.76 = 40,244/x
  3. Step 3: Cross multiply
    73,778.24x = 101,813.76 × 40,244
  4. Step 4: Simplify right side
    73,778.24x = 4,097,392,957.44
  5. Step 5: Solve for x
    x = 4,097,392,957.44/73,778.24
  6. Step 6: Final answer
    x = 55,536.60

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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.