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Finding the Fourth Proportional to 31,496.32, 47,243.64 and 12,771.34

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Solution

The fourth proportional to 31,496.32, 47,243.64 and 12,771.34 is: 19,156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496.32 : 47,243.64 = 12,771.34 : x
  2. Step 2: Convert to fraction form
    31,496.32/47,243.64 = 12,771.34/x
  3. Step 3: Cross multiply
    31,496.32x = 47,243.64 × 12,771.34
  4. Step 4: Simplify right side
    31,496.32x = 603,364,589.28
  5. Step 5: Solve for x
    x = 603,364,589.28/31,496.32
  6. Step 6: Final answer
    x = 19,156.67

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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.