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Finding the Fourth Proportional to 53,146.86, 73,340.31 and 30,469.56

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Solution

The fourth proportional to 53,146.86, 73,340.31 and 30,469.56 is: 42,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,146.86 : 73,340.31 = 30,469.56 : x
  2. Step 2: Convert to fraction form
    53,146.86/73,340.31 = 30,469.56/x
  3. Step 3: Cross multiply
    53,146.86x = 73,340.31 × 30,469.56
  4. Step 4: Simplify right side
    53,146.86x = 2,234,646,975.96
  5. Step 5: Solve for x
    x = 2,234,646,975.96/53,146.86
  6. Step 6: Final answer
    x = 42,046.64

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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.