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Finding the Fourth Proportional to 68,147.67, 102,265.25 and 33,068.19

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Solution

The fourth proportional to 68,147.67, 102,265.25 and 33,068.19 is: 49,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,147.67 : 102,265.25 = 33,068.19 : x
  2. Step 2: Convert to fraction form
    68,147.67/102,265.25 = 33,068.19/x
  3. Step 3: Cross multiply
    68,147.67x = 102,265.25 × 33,068.19
  4. Step 4: Simplify right side
    68,147.67x = 3,381,726,552.06
  5. Step 5: Solve for x
    x = 3,381,726,552.06/68,147.67
  6. Step 6: Final answer
    x = 49,623.51

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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.