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Finding the Fourth Proportional to 68,047.43, 102,071.14 and 23,674.14

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Solution

The fourth proportional to 68,047.43, 102,071.14 and 23,674.14 is: 35,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047.43 : 102,071.14 = 23,674.14 : x
  2. Step 2: Convert to fraction form
    68,047.43/102,071.14 = 23,674.14/x
  3. Step 3: Cross multiply
    68,047.43x = 102,071.14 × 23,674.14
  4. Step 4: Simplify right side
    68,047.43x = 2,416,446,399.13
  5. Step 5: Solve for x
    x = 2,416,446,399.13/68,047.43
  6. Step 6: Final answer
    x = 35,511.21

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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.