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Finding the Fourth Proportional to 83,314.26, 124,971.87 and 34,066.26

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Solution

The fourth proportional to 83,314.26, 124,971.87 and 34,066.26 is: 51,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,314.26 : 124,971.87 = 34,066.26 : x
  2. Step 2: Convert to fraction form
    83,314.26/124,971.87 = 34,066.26/x
  3. Step 3: Cross multiply
    83,314.26x = 124,971.87 × 34,066.26
  4. Step 4: Simplify right side
    83,314.26x = 4,257,324,216.11
  5. Step 5: Solve for x
    x = 4,257,324,216.11/83,314.26
  6. Step 6: Final answer
    x = 51,099.59

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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.