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Finding the Fourth Proportional to 65,093.41, 97,654.77 and 22,976.49

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Solution

The fourth proportional to 65,093.41, 97,654.77 and 22,976.49 is: 34,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,093.41 : 97,654.77 = 22,976.49 : x
  2. Step 2: Convert to fraction form
    65,093.41/97,654.77 = 22,976.49/x
  3. Step 3: Cross multiply
    65,093.41x = 97,654.77 × 22,976.49
  4. Step 4: Simplify right side
    65,093.41x = 2,243,763,846.36
  5. Step 5: Solve for x
    x = 2,243,763,846.36/65,093.41
  6. Step 6: Final answer
    x = 34,469.91

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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.