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Finding the Fourth Proportional to 31,274.40, 46,911.58 and 10,512.48

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Solution

The fourth proportional to 31,274.40, 46,911.58 and 10,512.48 is: 15,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.40 : 46,911.58 = 10,512.48 : x
  2. Step 2: Convert to fraction form
    31,274.40/46,911.58 = 10,512.48/x
  3. Step 3: Cross multiply
    31,274.40x = 46,911.58 × 10,512.48
  4. Step 4: Simplify right side
    31,274.40x = 493,157,046.52
  5. Step 5: Solve for x
    x = 493,157,046.52/31,274.40
  6. Step 6: Final answer
    x = 15,768.71

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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.