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Finding the Fourth Proportional to 31,649.89, 47,432.92 and 16,826.89

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Solution

The fourth proportional to 31,649.89, 47,432.92 and 16,826.89 is: 25,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.89 : 47,432.92 = 16,826.89 : x
  2. Step 2: Convert to fraction form
    31,649.89/47,432.92 = 16,826.89/x
  3. Step 3: Cross multiply
    31,649.89x = 47,432.92 × 16,826.89
  4. Step 4: Simplify right side
    31,649.89x = 798,148,527.22
  5. Step 5: Solve for x
    x = 798,148,527.22/31,649.89
  6. Step 6: Final answer
    x = 25,218.05

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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.