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Finding the Fourth Proportional to 54,960.74, 82,506.87 and 32,784.56

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Solution

The fourth proportional to 54,960.74, 82,506.87 and 32,784.56 is: 49,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,960.74 : 82,506.87 = 32,784.56 : x
  2. Step 2: Convert to fraction form
    54,960.74/82,506.87 = 32,784.56/x
  3. Step 3: Cross multiply
    54,960.74x = 82,506.87 × 32,784.56
  4. Step 4: Simplify right side
    54,960.74x = 2,704,951,326.79
  5. Step 5: Solve for x
    x = 2,704,951,326.79/54,960.74
  6. Step 6: Final answer
    x = 49,216.07

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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.