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Finding the Fourth Proportional to 68,223.75, 102,356.28 and 34,967.39

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Solution

The fourth proportional to 68,223.75, 102,356.28 and 34,967.39 is: 52,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,223.75 : 102,356.28 = 34,967.39 : x
  2. Step 2: Convert to fraction form
    68,223.75/102,356.28 = 34,967.39/x
  3. Step 3: Cross multiply
    68,223.75x = 102,356.28 × 34,967.39
  4. Step 4: Simplify right side
    68,223.75x = 3,579,131,449.93
  5. Step 5: Solve for x
    x = 3,579,131,449.93/68,223.75
  6. Step 6: Final answer
    x = 52,461.66

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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.