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Finding the Fourth Proportional to 31,806.14, 47,705.56 and 8,434.40

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Solution

The fourth proportional to 31,806.14, 47,705.56 and 8,434.40 is: 12,650.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.14 : 47,705.56 = 8,434.40 : x
  2. Step 2: Convert to fraction form
    31,806.14/47,705.56 = 8,434.40/x
  3. Step 3: Cross multiply
    31,806.14x = 47,705.56 × 8,434.40
  4. Step 4: Simplify right side
    31,806.14x = 402,367,515.65
  5. Step 5: Solve for x
    x = 402,367,515.65/31,806.14
  6. Step 6: Final answer
    x = 12,650.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.