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Finding the Fourth Proportional to 76,808.67, 115,213 and 24,223.47

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Solution

The fourth proportional to 76,808.67, 115,213 and 24,223.47 is: 36,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808.67 : 115,213 = 24,223.47 : x
  2. Step 2: Convert to fraction form
    76,808.67/115,213 = 24,223.47/x
  3. Step 3: Cross multiply
    76,808.67x = 115,213 × 24,223.47
  4. Step 4: Simplify right side
    76,808.67x = 2,790,858,649.11
  5. Step 5: Solve for x
    x = 2,790,858,649.11/76,808.67
  6. Step 6: Final answer
    x = 36,335.20

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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.