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Finding the Fourth Proportional to 68,256.99, 102,431.61 and 23,884.12

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Solution

The fourth proportional to 68,256.99, 102,431.61 and 23,884.12 is: 35,842.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,256.99 : 102,431.61 = 23,884.12 : x
  2. Step 2: Convert to fraction form
    68,256.99/102,431.61 = 23,884.12/x
  3. Step 3: Cross multiply
    68,256.99x = 102,431.61 × 23,884.12
  4. Step 4: Simplify right side
    68,256.99x = 2,446,489,387.81
  5. Step 5: Solve for x
    x = 2,446,489,387.81/68,256.99
  6. Step 6: Final answer
    x = 35,842.33

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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.