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Finding the Fourth Proportional to 35,517.70, 53,167.20 and 31,581.10

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Solution

The fourth proportional to 35,517.70, 53,167.20 and 31,581.10 is: 47,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,517.70 : 53,167.20 = 31,581.10 : x
  2. Step 2: Convert to fraction form
    35,517.70/53,167.20 = 31,581.10/x
  3. Step 3: Cross multiply
    35,517.70x = 53,167.20 × 31,581.10
  4. Step 4: Simplify right side
    35,517.70x = 1,679,078,659.92
  5. Step 5: Solve for x
    x = 1,679,078,659.92/35,517.70
  6. Step 6: Final answer
    x = 47,274.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.