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Finding the Fourth Proportional to 72,202.52, 108,257.69 and 34,687.96

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Solution

The fourth proportional to 72,202.52, 108,257.69 and 34,687.96 is: 52,009.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,202.52 : 108,257.69 = 34,687.96 : x
  2. Step 2: Convert to fraction form
    72,202.52/108,257.69 = 34,687.96/x
  3. Step 3: Cross multiply
    72,202.52x = 108,257.69 × 34,687.96
  4. Step 4: Simplify right side
    72,202.52x = 3,755,238,420.41
  5. Step 5: Solve for x
    x = 3,755,238,420.41/72,202.52
  6. Step 6: Final answer
    x = 52,009.80

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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.