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Finding the Fourth Proportional to 71,703.23, 107,553.94 and 32,232.44

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Solution

The fourth proportional to 71,703.23, 107,553.94 and 32,232.44 is: 48,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,703.23 : 107,553.94 = 32,232.44 : x
  2. Step 2: Convert to fraction form
    71,703.23/107,553.94 = 32,232.44/x
  3. Step 3: Cross multiply
    71,703.23x = 107,553.94 × 32,232.44
  4. Step 4: Simplify right side
    71,703.23x = 3,466,726,106.12
  5. Step 5: Solve for x
    x = 3,466,726,106.12/71,703.23
  6. Step 6: Final answer
    x = 48,348.25

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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.