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Finding the Fourth Proportional to 71,204.72, 106,723.22 and 29,058.50

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Solution

The fourth proportional to 71,204.72, 106,723.22 and 29,058.50 is: 43,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204.72 : 106,723.22 = 29,058.50 : x
  2. Step 2: Convert to fraction form
    71,204.72/106,723.22 = 29,058.50/x
  3. Step 3: Cross multiply
    71,204.72x = 106,723.22 × 29,058.50
  4. Step 4: Simplify right side
    71,204.72x = 3,101,216,688.37
  5. Step 5: Solve for x
    x = 3,101,216,688.37/71,204.72
  6. Step 6: Final answer
    x = 43,553.53

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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.