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Finding the Fourth Proportional to 32,414.56, 48,625.49 and 10,221.37

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Solution

The fourth proportional to 32,414.56, 48,625.49 and 10,221.37 is: 15,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.56 : 48,625.49 = 10,221.37 : x
  2. Step 2: Convert to fraction form
    32,414.56/48,625.49 = 10,221.37/x
  3. Step 3: Cross multiply
    32,414.56x = 48,625.49 × 10,221.37
  4. Step 4: Simplify right side
    32,414.56x = 497,018,952.05
  5. Step 5: Solve for x
    x = 497,018,952.05/32,414.56
  6. Step 6: Final answer
    x = 15,333.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.