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Finding the Fourth Proportional to 31,479.20, 47,208.78 and 10,415.30

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Solution

The fourth proportional to 31,479.20, 47,208.78 and 10,415.30 is: 15,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,479.20 : 47,208.78 = 10,415.30 : x
  2. Step 2: Convert to fraction form
    31,479.20/47,208.78 = 10,415.30/x
  3. Step 3: Cross multiply
    31,479.20x = 47,208.78 × 10,415.30
  4. Step 4: Simplify right side
    31,479.20x = 491,693,606.33
  5. Step 5: Solve for x
    x = 491,693,606.33/31,479.20
  6. Step 6: Final answer
    x = 15,619.63

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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.