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Finding the Fourth Proportional to 68,108.64, 102,049.56 and 23,710.92

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Solution

The fourth proportional to 68,108.64, 102,049.56 and 23,710.92 is: 35,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,108.64 : 102,049.56 = 23,710.92 : x
  2. Step 2: Convert to fraction form
    68,108.64/102,049.56 = 23,710.92/x
  3. Step 3: Cross multiply
    68,108.64x = 102,049.56 × 23,710.92
  4. Step 4: Simplify right side
    68,108.64x = 2,419,688,953.20
  5. Step 5: Solve for x
    x = 2,419,688,953.20/68,108.64
  6. Step 6: Final answer
    x = 35,526.90

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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.