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Finding the Fourth Proportional to 32,224.43, 48,327.30 and 13,503.98

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Solution

The fourth proportional to 32,224.43, 48,327.30 and 13,503.98 is: 20,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224.43 : 48,327.30 = 13,503.98 : x
  2. Step 2: Convert to fraction form
    32,224.43/48,327.30 = 13,503.98/x
  3. Step 3: Cross multiply
    32,224.43x = 48,327.30 × 13,503.98
  4. Step 4: Simplify right side
    32,224.43x = 652,611,013.47
  5. Step 5: Solve for x
    x = 652,611,013.47/32,224.43
  6. Step 6: Final answer
    x = 20,252.06

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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.