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Finding the Fourth Proportional to 49,062.96, 73,593 and 15,784.56

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Solution

The fourth proportional to 49,062.96, 73,593 and 15,784.56 is: 23,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,062.96 : 73,593 = 15,784.56 : x
  2. Step 2: Convert to fraction form
    49,062.96/73,593 = 15,784.56/x
  3. Step 3: Cross multiply
    49,062.96x = 73,593 × 15,784.56
  4. Step 4: Simplify right side
    49,062.96x = 1,161,633,124.08
  5. Step 5: Solve for x
    x = 1,161,633,124.08/49,062.96
  6. Step 6: Final answer
    x = 23,676.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.