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Finding the Fourth Proportional to 53,510.86, 73,844.79 and 30,849.75

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Solution

The fourth proportional to 53,510.86, 73,844.79 and 30,849.75 is: 42,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,510.86 : 73,844.79 = 30,849.75 : x
  2. Step 2: Convert to fraction form
    53,510.86/73,844.79 = 30,849.75/x
  3. Step 3: Cross multiply
    53,510.86x = 73,844.79 × 30,849.75
  4. Step 4: Simplify right side
    53,510.86x = 2,278,093,310.30
  5. Step 5: Solve for x
    x = 2,278,093,310.30/53,510.86
  6. Step 6: Final answer
    x = 42,572.54

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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.