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Finding the Fourth Proportional to 68,610.96, 102,965.64 and 29,195.76

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Solution

The fourth proportional to 68,610.96, 102,965.64 and 29,195.76 is: 43,814.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,610.96 : 102,965.64 = 29,195.76 : x
  2. Step 2: Convert to fraction form
    68,610.96/102,965.64 = 29,195.76/x
  3. Step 3: Cross multiply
    68,610.96x = 102,965.64 × 29,195.76
  4. Step 4: Simplify right side
    68,610.96x = 3,006,160,113.69
  5. Step 5: Solve for x
    x = 3,006,160,113.69/68,610.96
  6. Step 6: Final answer
    x = 43,814.58

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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.