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Finding the Fourth Proportional to 76,227.48, 114,348.90 and 20,823.96

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Solution

The fourth proportional to 76,227.48, 114,348.90 and 20,823.96 is: 31,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,227.48 : 114,348.90 = 20,823.96 : x
  2. Step 2: Convert to fraction form
    76,227.48/114,348.90 = 20,823.96/x
  3. Step 3: Cross multiply
    76,227.48x = 114,348.90 × 20,823.96
  4. Step 4: Simplify right side
    76,227.48x = 2,381,196,919.64
  5. Step 5: Solve for x
    x = 2,381,196,919.64/76,227.48
  6. Step 6: Final answer
    x = 31,238.04

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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.