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Finding the Fourth Proportional to 32,005.84, 48,003.22 and 14,471.60

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Solution

The fourth proportional to 32,005.84, 48,003.22 and 14,471.60 is: 21,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.84 : 48,003.22 = 14,471.60 : x
  2. Step 2: Convert to fraction form
    32,005.84/48,003.22 = 14,471.60/x
  3. Step 3: Cross multiply
    32,005.84x = 48,003.22 × 14,471.60
  4. Step 4: Simplify right side
    32,005.84x = 694,683,398.55
  5. Step 5: Solve for x
    x = 694,683,398.55/32,005.84
  6. Step 6: Final answer
    x = 21,704.90

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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.