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Finding the Fourth Proportional to 31,806.06, 47,708.97 and 8,432.70

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Solution

The fourth proportional to 31,806.06, 47,708.97 and 8,432.70 is: 12,649.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.06 : 47,708.97 = 8,432.70 : x
  2. Step 2: Convert to fraction form
    31,806.06/47,708.97 = 8,432.70/x
  3. Step 3: Cross multiply
    31,806.06x = 47,708.97 × 8,432.70
  4. Step 4: Simplify right side
    31,806.06x = 402,315,431.32
  5. Step 5: Solve for x
    x = 402,315,431.32/31,806.06
  6. Step 6: Final answer
    x = 12,649.02

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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.