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Finding the Fourth Proportional to 31,668.48, 47,491.20 and 30,216.96

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Solution

The fourth proportional to 31,668.48, 47,491.20 and 30,216.96 is: 45,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668.48 : 47,491.20 = 30,216.96 : x
  2. Step 2: Convert to fraction form
    31,668.48/47,491.20 = 30,216.96/x
  3. Step 3: Cross multiply
    31,668.48x = 47,491.20 × 30,216.96
  4. Step 4: Simplify right side
    31,668.48x = 1,435,039,690.75
  5. Step 5: Solve for x
    x = 1,435,039,690.75/31,668.48
  6. Step 6: Final answer
    x = 45,314.45

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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.