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Finding the Fourth Proportional to 31,550.72, 47,308.32 and 10,479.48

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Solution

The fourth proportional to 31,550.72, 47,308.32 and 10,479.48 is: 15,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550.72 : 47,308.32 = 10,479.48 : x
  2. Step 2: Convert to fraction form
    31,550.72/47,308.32 = 10,479.48/x
  3. Step 3: Cross multiply
    31,550.72x = 47,308.32 × 10,479.48
  4. Step 4: Simplify right side
    31,550.72x = 495,766,415.87
  5. Step 5: Solve for x
    x = 495,766,415.87/31,550.72
  6. Step 6: Final answer
    x = 15,713.32

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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.