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Finding the Fourth Proportional to 31,586.76, 47,376.36 and 8,212.59

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Solution

The fourth proportional to 31,586.76, 47,376.36 and 8,212.59 is: 12,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.76 : 47,376.36 = 8,212.59 : x
  2. Step 2: Convert to fraction form
    31,586.76/47,376.36 = 8,212.59/x
  3. Step 3: Cross multiply
    31,586.76x = 47,376.36 × 8,212.59
  4. Step 4: Simplify right side
    31,586.76x = 389,082,620.37
  5. Step 5: Solve for x
    x = 389,082,620.37/31,586.76
  6. Step 6: Final answer
    x = 12,317.90

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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.