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Finding the Fourth Proportional to 73,360.73, 109,977.96 and 31,202.21

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Solution

The fourth proportional to 73,360.73, 109,977.96 and 31,202.21 is: 46,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,360.73 : 109,977.96 = 31,202.21 : x
  2. Step 2: Convert to fraction form
    73,360.73/109,977.96 = 31,202.21/x
  3. Step 3: Cross multiply
    73,360.73x = 109,977.96 × 31,202.21
  4. Step 4: Simplify right side
    73,360.73x = 3,431,555,403.29
  5. Step 5: Solve for x
    x = 3,431,555,403.29/73,360.73
  6. Step 6: Final answer
    x = 46,776.46

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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.