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Finding the Fourth Proportional to 54,866.26, 82,158.82 and 37,975.87

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Solution

The fourth proportional to 54,866.26, 82,158.82 and 37,975.87 is: 56,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866.26 : 82,158.82 = 37,975.87 : x
  2. Step 2: Convert to fraction form
    54,866.26/82,158.82 = 37,975.87/x
  3. Step 3: Cross multiply
    54,866.26x = 82,158.82 × 37,975.87
  4. Step 4: Simplify right side
    54,866.26x = 3,120,052,667.67
  5. Step 5: Solve for x
    x = 3,120,052,667.67/54,866.26
  6. Step 6: Final answer
    x = 56,866.51

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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.