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Finding the Fourth Proportional to 31,507.88, 47,269.17 and 10,731.38

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Solution

The fourth proportional to 31,507.88, 47,269.17 and 10,731.38 is: 16,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.88 : 47,269.17 = 10,731.38 : x
  2. Step 2: Convert to fraction form
    31,507.88/47,269.17 = 10,731.38/x
  3. Step 3: Cross multiply
    31,507.88x = 47,269.17 × 10,731.38
  4. Step 4: Simplify right side
    31,507.88x = 507,263,189.21
  5. Step 5: Solve for x
    x = 507,263,189.21/31,507.88
  6. Step 6: Final answer
    x = 16,099.57

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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.