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Finding the Fourth Proportional to 31,663.36, 47,499.90 and 10,882

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Solution

The fourth proportional to 31,663.36, 47,499.90 and 10,882 is: 16,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.36 : 47,499.90 = 10,882 : x
  2. Step 2: Convert to fraction form
    31,663.36/47,499.90 = 10,882/x
  3. Step 3: Cross multiply
    31,663.36x = 47,499.90 × 10,882
  4. Step 4: Simplify right side
    31,663.36x = 516,893,911.80
  5. Step 5: Solve for x
    x = 516,893,911.80/31,663.36
  6. Step 6: Final answer
    x = 16,324.67

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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.