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Finding the Fourth Proportional to 68,175.91, 102,310.63 and 23,802.66

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Solution

The fourth proportional to 68,175.91, 102,310.63 and 23,802.66 is: 35,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,175.91 : 102,310.63 = 23,802.66 : x
  2. Step 2: Convert to fraction form
    68,175.91/102,310.63 = 23,802.66/x
  3. Step 3: Cross multiply
    68,175.91x = 102,310.63 × 23,802.66
  4. Step 4: Simplify right side
    68,175.91x = 2,435,265,080.77
  5. Step 5: Solve for x
    x = 2,435,265,080.77/68,175.91
  6. Step 6: Final answer
    x = 35,720.32

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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.