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Finding the Fourth Proportional to 31,953.32, 47,928.23 and 9,766.69

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Solution

The fourth proportional to 31,953.32, 47,928.23 and 9,766.69 is: 14,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,953.32 : 47,928.23 = 9,766.69 : x
  2. Step 2: Convert to fraction form
    31,953.32/47,928.23 = 9,766.69/x
  3. Step 3: Cross multiply
    31,953.32x = 47,928.23 × 9,766.69
  4. Step 4: Simplify right side
    31,953.32x = 468,099,996.00
  5. Step 5: Solve for x
    x = 468,099,996.00/31,953.32
  6. Step 6: Final answer
    x = 14,649.49

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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.