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Finding the Fourth Proportional to 82,219.37, 113,463.07 and 44,493.62

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Solution

The fourth proportional to 82,219.37, 113,463.07 and 44,493.62 is: 61,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.37 : 113,463.07 = 44,493.62 : x
  2. Step 2: Convert to fraction form
    82,219.37/113,463.07 = 44,493.62/x
  3. Step 3: Cross multiply
    82,219.37x = 113,463.07 × 44,493.62
  4. Step 4: Simplify right side
    82,219.37x = 5,048,382,720.61
  5. Step 5: Solve for x
    x = 5,048,382,720.61/82,219.37
  6. Step 6: Final answer
    x = 61,401.38

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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.