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Finding the Fourth Proportional to 114,769.32, 172,163.90 and 31,663.32

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Solution

The fourth proportional to 114,769.32, 172,163.90 and 31,663.32 is: 47,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,769.32 : 172,163.90 = 31,663.32 : x
  2. Step 2: Convert to fraction form
    114,769.32/172,163.90 = 31,663.32/x
  3. Step 3: Cross multiply
    114,769.32x = 172,163.90 × 31,663.32
  4. Step 4: Simplify right side
    114,769.32x = 5,451,280,658.15
  5. Step 5: Solve for x
    x = 5,451,280,658.15/114,769.32
  6. Step 6: Final answer
    x = 47,497.72

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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.