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Finding the Fourth Proportional to 31,806.76, 47,706.90 and 8,435.56

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Solution

The fourth proportional to 31,806.76, 47,706.90 and 8,435.56 is: 12,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.76 : 47,706.90 = 8,435.56 : x
  2. Step 2: Convert to fraction form
    31,806.76/47,706.90 = 8,435.56/x
  3. Step 3: Cross multiply
    31,806.76x = 47,706.90 × 8,435.56
  4. Step 4: Simplify right side
    31,806.76x = 402,434,417.36
  5. Step 5: Solve for x
    x = 402,434,417.36/31,806.76
  6. Step 6: Final answer
    x = 12,652.48

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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.