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Finding the Fourth Proportional to 31,953.14, 47,929.47 and 9,766.43

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Solution

The fourth proportional to 31,953.14, 47,929.47 and 9,766.43 is: 14,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.14 : 47,929.47 = 9,766.43 : x
  2. Step 2: Convert to fraction form
    31,953.14/47,929.47 = 9,766.43/x
  3. Step 3: Cross multiply
    31,953.14x = 47,929.47 × 9,766.43
  4. Step 4: Simplify right side
    31,953.14x = 468,099,813.69
  5. Step 5: Solve for x
    x = 468,099,813.69/31,953.14
  6. Step 6: Final answer
    x = 14,649.57

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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.