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Finding the Fourth Proportional to 54,462.15, 75,160.44 and 30,596.31

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Solution

The fourth proportional to 54,462.15, 75,160.44 and 30,596.31 is: 42,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462.15 : 75,160.44 = 30,596.31 : x
  2. Step 2: Convert to fraction form
    54,462.15/75,160.44 = 30,596.31/x
  3. Step 3: Cross multiply
    54,462.15x = 75,160.44 × 30,596.31
  4. Step 4: Simplify right side
    54,462.15x = 2,299,632,121.98
  5. Step 5: Solve for x
    x = 2,299,632,121.98/54,462.15
  6. Step 6: Final answer
    x = 42,224.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.