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Finding the Fourth Proportional to 104,286.27, 156,415.52 and 29,412.42

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Solution

The fourth proportional to 104,286.27, 156,415.52 and 29,412.42 is: 44,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,286.27 : 156,415.52 = 29,412.42 : x
  2. Step 2: Convert to fraction form
    104,286.27/156,415.52 = 29,412.42/x
  3. Step 3: Cross multiply
    104,286.27x = 156,415.52 × 29,412.42
  4. Step 4: Simplify right side
    104,286.27x = 4,600,559,433.33
  5. Step 5: Solve for x
    x = 4,600,559,433.33/104,286.27
  6. Step 6: Final answer
    x = 44,114.72

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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.