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Finding the Fourth Proportional to 31,373.67, 47,067.52 and 10,596.63

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Solution

The fourth proportional to 31,373.67, 47,067.52 and 10,596.63 is: 15,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.67 : 47,067.52 = 10,596.63 : x
  2. Step 2: Convert to fraction form
    31,373.67/47,067.52 = 10,596.63/x
  3. Step 3: Cross multiply
    31,373.67x = 47,067.52 × 10,596.63
  4. Step 4: Simplify right side
    31,373.67x = 498,757,094.46
  5. Step 5: Solve for x
    x = 498,757,094.46/31,373.67
  6. Step 6: Final answer
    x = 15,897.31

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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.