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Finding the Fourth Proportional to 32,189.44, 44,406.36 and 20,080

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Solution

The fourth proportional to 32,189.44, 44,406.36 and 20,080 is: 27,701.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.44 : 44,406.36 = 20,080 : x
  2. Step 2: Convert to fraction form
    32,189.44/44,406.36 = 20,080/x
  3. Step 3: Cross multiply
    32,189.44x = 44,406.36 × 20,080
  4. Step 4: Simplify right side
    32,189.44x = 891,679,708.80
  5. Step 5: Solve for x
    x = 891,679,708.80/32,189.44
  6. Step 6: Final answer
    x = 27,701.00

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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.