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Finding the Fourth Proportional to 82,219.62, 113,462.66 and 44,493.87

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Solution

The fourth proportional to 82,219.62, 113,462.66 and 44,493.87 is: 61,401.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.62 : 113,462.66 = 44,493.87 : x
  2. Step 2: Convert to fraction form
    82,219.62/113,462.66 = 44,493.87/x
  3. Step 3: Cross multiply
    82,219.62x = 113,462.66 × 44,493.87
  4. Step 4: Simplify right side
    82,219.62x = 5,048,392,621.42
  5. Step 5: Solve for x
    x = 5,048,392,621.42/82,219.62
  6. Step 6: Final answer
    x = 61,401.31

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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.