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Finding the Fourth Proportional to 68,176.10, 102,310.84 and 23,802.84

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Solution

The fourth proportional to 68,176.10, 102,310.84 and 23,802.84 is: 35,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,176.10 : 102,310.84 = 23,802.84 : x
  2. Step 2: Convert to fraction form
    68,176.10/102,310.84 = 23,802.84/x
  3. Step 3: Cross multiply
    68,176.10x = 102,310.84 × 23,802.84
  4. Step 4: Simplify right side
    68,176.10x = 2,435,288,554.79
  5. Step 5: Solve for x
    x = 2,435,288,554.79/68,176.10
  6. Step 6: Final answer
    x = 35,720.56

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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.