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Finding the Fourth Proportional to 32,093, 48,158.94 and 13,625

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Solution

The fourth proportional to 32,093, 48,158.94 and 13,625 is: 20,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,093 : 48,158.94 = 13,625 : x
  2. Step 2: Convert to fraction form
    32,093/48,158.94 = 13,625/x
  3. Step 3: Cross multiply
    32,093x = 48,158.94 × 13,625
  4. Step 4: Simplify right side
    32,093x = 656,165,557.50
  5. Step 5: Solve for x
    x = 656,165,557.50/32,093
  6. Step 6: Final answer
    x = 20,445.75

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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.