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Finding the Fourth Proportional to 32,185.72, 44,427.18 and 20,269

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Solution

The fourth proportional to 32,185.72, 44,427.18 and 20,269 is: 27,978.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.72 : 44,427.18 = 20,269 : x
  2. Step 2: Convert to fraction form
    32,185.72/44,427.18 = 20,269/x
  3. Step 3: Cross multiply
    32,185.72x = 44,427.18 × 20,269
  4. Step 4: Simplify right side
    32,185.72x = 900,494,511.42
  5. Step 5: Solve for x
    x = 900,494,511.42/32,185.72
  6. Step 6: Final answer
    x = 27,978.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.