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Finding the Fourth Proportional to 54,394.65, 75,046.59 and 32,890.97

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Solution

The fourth proportional to 54,394.65, 75,046.59 and 32,890.97 is: 45,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,394.65 : 75,046.59 = 32,890.97 : x
  2. Step 2: Convert to fraction form
    54,394.65/75,046.59 = 32,890.97/x
  3. Step 3: Cross multiply
    54,394.65x = 75,046.59 × 32,890.97
  4. Step 4: Simplify right side
    54,394.65x = 2,468,355,327.91
  5. Step 5: Solve for x
    x = 2,468,355,327.91/54,394.65
  6. Step 6: Final answer
    x = 45,378.64

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Why These Related Problems?

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