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Finding the Fourth Proportional to 31,372.21, 47,054.87 and 9,185.81

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Solution

The fourth proportional to 31,372.21, 47,054.87 and 9,185.81 is: 13,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.21 : 47,054.87 = 9,185.81 : x
  2. Step 2: Convert to fraction form
    31,372.21/47,054.87 = 9,185.81/x
  3. Step 3: Cross multiply
    31,372.21x = 47,054.87 × 9,185.81
  4. Step 4: Simplify right side
    31,372.21x = 432,236,900.31
  5. Step 5: Solve for x
    x = 432,236,900.31/31,372.21
  6. Step 6: Final answer
    x = 13,777.70

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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.