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Finding the Fourth Proportional to 31,858.38, 47,757.72 and 10,783.67

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Solution

The fourth proportional to 31,858.38, 47,757.72 and 10,783.67 is: 16,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.38 : 47,757.72 = 10,783.67 : x
  2. Step 2: Convert to fraction form
    31,858.38/47,757.72 = 10,783.67/x
  3. Step 3: Cross multiply
    31,858.38x = 47,757.72 × 10,783.67
  4. Step 4: Simplify right side
    31,858.38x = 515,003,638.79
  5. Step 5: Solve for x
    x = 515,003,638.79/31,858.38
  6. Step 6: Final answer
    x = 16,165.41

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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.