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Finding the Fourth Proportional to 31,953.47, 47,930.33 and 9,766.76

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Solution

The fourth proportional to 31,953.47, 47,930.33 and 9,766.76 is: 14,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.47 : 47,930.33 = 9,766.76 : x
  2. Step 2: Convert to fraction form
    31,953.47/47,930.33 = 9,766.76/x
  3. Step 3: Cross multiply
    31,953.47x = 47,930.33 × 9,766.76
  4. Step 4: Simplify right side
    31,953.47x = 468,124,286.41
  5. Step 5: Solve for x
    x = 468,124,286.41/31,953.47
  6. Step 6: Final answer
    x = 14,650.18

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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.