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Finding the Fourth Proportional to 76,679.76, 115,024.48 and 24,091.28

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Solution

The fourth proportional to 76,679.76, 115,024.48 and 24,091.28 is: 36,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,679.76 : 115,024.48 = 24,091.28 : x
  2. Step 2: Convert to fraction form
    76,679.76/115,024.48 = 24,091.28/x
  3. Step 3: Cross multiply
    76,679.76x = 115,024.48 × 24,091.28
  4. Step 4: Simplify right side
    76,679.76x = 2,771,086,954.53
  5. Step 5: Solve for x
    x = 2,771,086,954.53/76,679.76
  6. Step 6: Final answer
    x = 36,138.44

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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.