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Finding the Fourth Proportional to 71,289.72, 106,944.30 and 29,727

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Solution

The fourth proportional to 71,289.72, 106,944.30 and 29,727 is: 44,594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,289.72 : 106,944.30 = 29,727 : x
  2. Step 2: Convert to fraction form
    71,289.72/106,944.30 = 29,727/x
  3. Step 3: Cross multiply
    71,289.72x = 106,944.30 × 29,727
  4. Step 4: Simplify right side
    71,289.72x = 3,179,133,206.10
  5. Step 5: Solve for x
    x = 3,179,133,206.10/71,289.72
  6. Step 6: Final answer
    x = 44,594.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.