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Finding the Fourth Proportional to 71,709, 107,563.50 and 34,155.24

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Solution

The fourth proportional to 71,709, 107,563.50 and 34,155.24 is: 51,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,709 : 107,563.50 = 34,155.24 : x
  2. Step 2: Convert to fraction form
    71,709/107,563.50 = 34,155.24/x
  3. Step 3: Cross multiply
    71,709x = 107,563.50 × 34,155.24
  4. Step 4: Simplify right side
    71,709x = 3,673,857,157.74
  5. Step 5: Solve for x
    x = 3,673,857,157.74/71,709
  6. Step 6: Final answer
    x = 51,232.86

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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.