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Finding the Fourth Proportional to 33,096.30, 45,673.21 and 17,989

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Solution

The fourth proportional to 33,096.30, 45,673.21 and 17,989 is: 24,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.30 : 45,673.21 = 17,989 : x
  2. Step 2: Convert to fraction form
    33,096.30/45,673.21 = 17,989/x
  3. Step 3: Cross multiply
    33,096.30x = 45,673.21 × 17,989
  4. Step 4: Simplify right side
    33,096.30x = 821,615,284.75
  5. Step 5: Solve for x
    x = 821,615,284.75/33,096.30
  6. Step 6: Final answer
    x = 24,824.99

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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.