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Finding the Fourth Proportional to 31,372.54, 47,055.37 and 9,186.14

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Solution

The fourth proportional to 31,372.54, 47,055.37 and 9,186.14 is: 13,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.54 : 47,055.37 = 9,186.14 : x
  2. Step 2: Convert to fraction form
    31,372.54/47,055.37 = 9,186.14/x
  3. Step 3: Cross multiply
    31,372.54x = 47,055.37 × 9,186.14
  4. Step 4: Simplify right side
    31,372.54x = 432,256,958.33
  5. Step 5: Solve for x
    x = 432,256,958.33/31,372.54
  6. Step 6: Final answer
    x = 13,778.20

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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.