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Finding the Fourth Proportional to 73,736.31, 101,756.21 and 40,202.31

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Solution

The fourth proportional to 73,736.31, 101,756.21 and 40,202.31 is: 55,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,736.31 : 101,756.21 = 40,202.31 : x
  2. Step 2: Convert to fraction form
    73,736.31/101,756.21 = 40,202.31/x
  3. Step 3: Cross multiply
    73,736.31x = 101,756.21 × 40,202.31
  4. Step 4: Simplify right side
    73,736.31x = 4,090,834,698.85
  5. Step 5: Solve for x
    x = 4,090,834,698.85/73,736.31
  6. Step 6: Final answer
    x = 55,479.24

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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.