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Finding the Fourth Proportional to 32,944.24, 45,463 and 17,836.90

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Solution

The fourth proportional to 32,944.24, 45,463 and 17,836.90 is: 24,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944.24 : 45,463 = 17,836.90 : x
  2. Step 2: Convert to fraction form
    32,944.24/45,463 = 17,836.90/x
  3. Step 3: Cross multiply
    32,944.24x = 45,463 × 17,836.90
  4. Step 4: Simplify right side
    32,944.24x = 810,918,984.70
  5. Step 5: Solve for x
    x = 810,918,984.70/32,944.24
  6. Step 6: Final answer
    x = 24,614.89

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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.