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Finding the Fourth Proportional to 33,096.81, 45,673.90 and 17,989.50

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Solution

The fourth proportional to 33,096.81, 45,673.90 and 17,989.50 is: 24,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.81 : 45,673.90 = 17,989.50 : x
  2. Step 2: Convert to fraction form
    33,096.81/45,673.90 = 17,989.50/x
  3. Step 3: Cross multiply
    33,096.81x = 45,673.90 × 17,989.50
  4. Step 4: Simplify right side
    33,096.81x = 821,650,534.10
  5. Step 5: Solve for x
    x = 821,650,534.10/33,096.81
  6. Step 6: Final answer
    x = 24,825.68

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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.