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Finding the Fourth Proportional to 73,609.70, 110,331.72 and 31,468.64

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Solution

The fourth proportional to 73,609.70, 110,331.72 and 31,468.64 is: 47,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,609.70 : 110,331.72 = 31,468.64 : x
  2. Step 2: Convert to fraction form
    73,609.70/110,331.72 = 31,468.64/x
  3. Step 3: Cross multiply
    73,609.70x = 110,331.72 × 31,468.64
  4. Step 4: Simplify right side
    73,609.70x = 3,471,988,625.60
  5. Step 5: Solve for x
    x = 3,471,988,625.60/73,609.70
  6. Step 6: Final answer
    x = 47,167.55

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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.