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Finding the Fourth Proportional to 71,228.57, 106,748.48 and 37,876.82

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Solution

The fourth proportional to 71,228.57, 106,748.48 and 37,876.82 is: 56,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,228.57 : 106,748.48 = 37,876.82 : x
  2. Step 2: Convert to fraction form
    71,228.57/106,748.48 = 37,876.82/x
  3. Step 3: Cross multiply
    71,228.57x = 106,748.48 × 37,876.82
  4. Step 4: Simplify right side
    71,228.57x = 4,043,292,523.18
  5. Step 5: Solve for x
    x = 4,043,292,523.18/71,228.57
  6. Step 6: Final answer
    x = 56,765.04

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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.