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Finding the Fourth Proportional to 32,213.75, 44,459.84 and 19,645.79

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Solution

The fourth proportional to 32,213.75, 44,459.84 and 19,645.79 is: 27,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.75 : 44,459.84 = 19,645.79 : x
  2. Step 2: Convert to fraction form
    32,213.75/44,459.84 = 19,645.79/x
  3. Step 3: Cross multiply
    32,213.75x = 44,459.84 × 19,645.79
  4. Step 4: Simplify right side
    32,213.75x = 873,448,680.07
  5. Step 5: Solve for x
    x = 873,448,680.07/32,213.75
  6. Step 6: Final answer
    x = 27,114.16

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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.