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Finding the Fourth Proportional to 104,294.94, 156,442.39 and 29,405.31

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Solution

The fourth proportional to 104,294.94, 156,442.39 and 29,405.31 is: 44,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,294.94 : 156,442.39 = 29,405.31 : x
  2. Step 2: Convert to fraction form
    104,294.94/156,442.39 = 29,405.31/x
  3. Step 3: Cross multiply
    104,294.94x = 156,442.39 × 29,405.31
  4. Step 4: Simplify right side
    104,294.94x = 4,600,236,975.09
  5. Step 5: Solve for x
    x = 4,600,236,975.09/104,294.94
  6. Step 6: Final answer
    x = 44,107.96

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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.