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Finding the Fourth Proportional to 79,822.21, 110,146.86 and 49,190.54

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Solution

The fourth proportional to 79,822.21, 110,146.86 and 49,190.54 is: 67,878.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,822.21 : 110,146.86 = 49,190.54 : x
  2. Step 2: Convert to fraction form
    79,822.21/110,146.86 = 49,190.54/x
  3. Step 3: Cross multiply
    79,822.21x = 110,146.86 × 49,190.54
  4. Step 4: Simplify right side
    79,822.21x = 5,418,183,522.70
  5. Step 5: Solve for x
    x = 5,418,183,522.70/79,822.21
  6. Step 6: Final answer
    x = 67,878.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.