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Finding the Fourth Proportional to 76,462.86, 114,694.29 and 23,876.85

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Solution

The fourth proportional to 76,462.86, 114,694.29 and 23,876.85 is: 35,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,462.86 : 114,694.29 = 23,876.85 : x
  2. Step 2: Convert to fraction form
    76,462.86/114,694.29 = 23,876.85/x
  3. Step 3: Cross multiply
    76,462.86x = 114,694.29 × 23,876.85
  4. Step 4: Simplify right side
    76,462.86x = 2,738,538,358.19
  5. Step 5: Solve for x
    x = 2,738,538,358.19/76,462.86
  6. Step 6: Final answer
    x = 35,815.28

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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.