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Finding the Fourth Proportional to 83,493.66, 115,225.97 and 49,522.26

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Solution

The fourth proportional to 83,493.66, 115,225.97 and 49,522.26 is: 68,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,493.66 : 115,225.97 = 49,522.26 : x
  2. Step 2: Convert to fraction form
    83,493.66/115,225.97 = 49,522.26/x
  3. Step 3: Cross multiply
    83,493.66x = 115,225.97 × 49,522.26
  4. Step 4: Simplify right side
    83,493.66x = 5,706,250,197.48
  5. Step 5: Solve for x
    x = 5,706,250,197.48/83,493.66
  6. Step 6: Final answer
    x = 68,343.51

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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.