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Finding the Fourth Proportional to 104,677.68, 156,992.92 and 29,796.16

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Solution

The fourth proportional to 104,677.68, 156,992.92 and 29,796.16 is: 44,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,677.68 : 156,992.92 = 29,796.16 : x
  2. Step 2: Convert to fraction form
    104,677.68/156,992.92 = 29,796.16/x
  3. Step 3: Cross multiply
    104,677.68x = 156,992.92 × 29,796.16
  4. Step 4: Simplify right side
    104,677.68x = 4,677,786,163.19
  5. Step 5: Solve for x
    x = 4,677,786,163.19/104,677.68
  6. Step 6: Final answer
    x = 44,687.52

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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.