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Finding the Fourth Proportional to 32,408.84, 48,611.40 and 10,221.72

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Solution

The fourth proportional to 32,408.84, 48,611.40 and 10,221.72 is: 15,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.84 : 48,611.40 = 10,221.72 : x
  2. Step 2: Convert to fraction form
    32,408.84/48,611.40 = 10,221.72/x
  3. Step 3: Cross multiply
    32,408.84x = 48,611.40 × 10,221.72
  4. Step 4: Simplify right side
    32,408.84x = 496,892,119.61
  5. Step 5: Solve for x
    x = 496,892,119.61/32,408.84
  6. Step 6: Final answer
    x = 15,331.99

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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.