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Finding the Fourth Proportional to 31,512.70, 47,279.07 and 9,326.20

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Solution

The fourth proportional to 31,512.70, 47,279.07 and 9,326.20 is: 13,992.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512.70 : 47,279.07 = 9,326.20 : x
  2. Step 2: Convert to fraction form
    31,512.70/47,279.07 = 9,326.20/x
  3. Step 3: Cross multiply
    31,512.70x = 47,279.07 × 9,326.20
  4. Step 4: Simplify right side
    31,512.70x = 440,934,062.63
  5. Step 5: Solve for x
    x = 440,934,062.63/31,512.70
  6. Step 6: Final answer
    x = 13,992.27

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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.