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Finding the Fourth Proportional to 32,213.25, 44,459.15 and 19,645.29

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Solution

The fourth proportional to 32,213.25, 44,459.15 and 19,645.29 is: 27,113.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.25 : 44,459.15 = 19,645.29 : x
  2. Step 2: Convert to fraction form
    32,213.25/44,459.15 = 19,645.29/x
  3. Step 3: Cross multiply
    32,213.25x = 44,459.15 × 19,645.29
  4. Step 4: Simplify right side
    32,213.25x = 873,412,796.68
  5. Step 5: Solve for x
    x = 873,412,796.68/32,213.25
  6. Step 6: Final answer
    x = 27,113.46

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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.