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Finding the Fourth Proportional to 76,876.62, 115,322.22 and 24,293.88

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Solution

The fourth proportional to 76,876.62, 115,322.22 and 24,293.88 is: 36,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.62 : 115,322.22 = 24,293.88 : x
  2. Step 2: Convert to fraction form
    76,876.62/115,322.22 = 24,293.88/x
  3. Step 3: Cross multiply
    76,876.62x = 115,322.22 × 24,293.88
  4. Step 4: Simplify right side
    76,876.62x = 2,801,624,174.01
  5. Step 5: Solve for x
    x = 2,801,624,174.01/76,876.62
  6. Step 6: Final answer
    x = 36,443.12

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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.