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Finding the Fourth Proportional to 31,169.88, 46,775.33 and 11,448.60

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Solution

The fourth proportional to 31,169.88, 46,775.33 and 11,448.60 is: 17,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169.88 : 46,775.33 = 11,448.60 : x
  2. Step 2: Convert to fraction form
    31,169.88/46,775.33 = 11,448.60/x
  3. Step 3: Cross multiply
    31,169.88x = 46,775.33 × 11,448.60
  4. Step 4: Simplify right side
    31,169.88x = 535,512,043.04
  5. Step 5: Solve for x
    x = 535,512,043.04/31,169.88
  6. Step 6: Final answer
    x = 17,180.43

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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.