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Finding the Fourth Proportional to 32,027.67, 44,199 and 17,881.56

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Solution

The fourth proportional to 32,027.67, 44,199 and 17,881.56 is: 24,677.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,027.67 : 44,199 = 17,881.56 : x
  2. Step 2: Convert to fraction form
    32,027.67/44,199 = 17,881.56/x
  3. Step 3: Cross multiply
    32,027.67x = 44,199 × 17,881.56
  4. Step 4: Simplify right side
    32,027.67x = 790,347,070.44
  5. Step 5: Solve for x
    x = 790,347,070.44/32,027.67
  6. Step 6: Final answer
    x = 24,677.01

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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.