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Finding the Fourth Proportional to 31,174.93, 46,781.03 and 11,455.48

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Solution

The fourth proportional to 31,174.93, 46,781.03 and 11,455.48 is: 17,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.93 : 46,781.03 = 11,455.48 : x
  2. Step 2: Convert to fraction form
    31,174.93/46,781.03 = 11,455.48/x
  3. Step 3: Cross multiply
    31,174.93x = 46,781.03 × 11,455.48
  4. Step 4: Simplify right side
    31,174.93x = 535,899,067.03
  5. Step 5: Solve for x
    x = 535,899,067.03/31,174.93
  6. Step 6: Final answer
    x = 17,190.07

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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.