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Finding the Fourth Proportional to 68,135.49, 102,174.06 and 23,749.11

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Solution

The fourth proportional to 68,135.49, 102,174.06 and 23,749.11 is: 35,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,135.49 : 102,174.06 = 23,749.11 : x
  2. Step 2: Convert to fraction form
    68,135.49/102,174.06 = 23,749.11/x
  3. Step 3: Cross multiply
    68,135.49x = 102,174.06 × 23,749.11
  4. Step 4: Simplify right side
    68,135.49x = 2,426,542,990.09
  5. Step 5: Solve for x
    x = 2,426,542,990.09/68,135.49
  6. Step 6: Final answer
    x = 35,613.50

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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.