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Finding the Fourth Proportional to 31,189.48, 46,802.75 and 11,481.88

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Solution

The fourth proportional to 31,189.48, 46,802.75 and 11,481.88 is: 17,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.48 : 46,802.75 = 11,481.88 : x
  2. Step 2: Convert to fraction form
    31,189.48/46,802.75 = 11,481.88/x
  3. Step 3: Cross multiply
    31,189.48x = 46,802.75 × 11,481.88
  4. Step 4: Simplify right side
    31,189.48x = 537,383,587.87
  5. Step 5: Solve for x
    x = 537,383,587.87/31,189.48
  6. Step 6: Final answer
    x = 17,229.64

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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.