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Finding the Fourth Proportional to 82,122, 113,328.36 and 44,396.25

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Solution

The fourth proportional to 82,122, 113,328.36 and 44,396.25 is: 61,266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122 : 113,328.36 = 44,396.25 : x
  2. Step 2: Convert to fraction form
    82,122/113,328.36 = 44,396.25/x
  3. Step 3: Cross multiply
    82,122x = 113,328.36 × 44,396.25
  4. Step 4: Simplify right side
    82,122x = 5,031,354,202.65
  5. Step 5: Solve for x
    x = 5,031,354,202.65/82,122
  6. Step 6: Final answer
    x = 61,266.83

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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.