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Finding the Fourth Proportional to 31,739.86, 47,610.15 and 10,958.50

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Solution

The fourth proportional to 31,739.86, 47,610.15 and 10,958.50 is: 16,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,739.86 : 47,610.15 = 10,958.50 : x
  2. Step 2: Convert to fraction form
    31,739.86/47,610.15 = 10,958.50/x
  3. Step 3: Cross multiply
    31,739.86x = 47,610.15 × 10,958.50
  4. Step 4: Simplify right side
    31,739.86x = 521,735,828.78
  5. Step 5: Solve for x
    x = 521,735,828.78/31,739.86
  6. Step 6: Final answer
    x = 16,437.87

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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.