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Finding the Fourth Proportional to 68,166.65, 102,279.74 and 23,825.22

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Solution

The fourth proportional to 68,166.65, 102,279.74 and 23,825.22 is: 35,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,166.65 : 102,279.74 = 23,825.22 : x
  2. Step 2: Convert to fraction form
    68,166.65/102,279.74 = 23,825.22/x
  3. Step 3: Cross multiply
    68,166.65x = 102,279.74 × 23,825.22
  4. Step 4: Simplify right side
    68,166.65x = 2,436,837,187.92
  5. Step 5: Solve for x
    x = 2,436,837,187.92/68,166.65
  6. Step 6: Final answer
    x = 35,748.23

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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.