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Finding the Fourth Proportional to 71,057.25, 106,586.28 and 29,504.25

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Solution

The fourth proportional to 71,057.25, 106,586.28 and 29,504.25 is: 44,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.25 : 106,586.28 = 29,504.25 : x
  2. Step 2: Convert to fraction form
    71,057.25/106,586.28 = 29,504.25/x
  3. Step 3: Cross multiply
    71,057.25x = 106,586.28 × 29,504.25
  4. Step 4: Simplify right side
    71,057.25x = 3,144,748,251.69
  5. Step 5: Solve for x
    x = 3,144,748,251.69/71,057.25
  6. Step 6: Final answer
    x = 44,256.54

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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.