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Finding the Fourth Proportional to 31,375.42, 47,058.26 and 9,183.58

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Solution

The fourth proportional to 31,375.42, 47,058.26 and 9,183.58 is: 13,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.42 : 47,058.26 = 9,183.58 : x
  2. Step 2: Convert to fraction form
    31,375.42/47,058.26 = 9,183.58/x
  3. Step 3: Cross multiply
    31,375.42x = 47,058.26 × 9,183.58
  4. Step 4: Simplify right side
    31,375.42x = 432,163,295.37
  5. Step 5: Solve for x
    x = 432,163,295.37/31,375.42
  6. Step 6: Final answer
    x = 13,773.94

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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.