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Finding the Fourth Proportional to 33,740, 46,560.92 and 18,633.68

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Solution

The fourth proportional to 33,740, 46,560.92 and 18,633.68 is: 25,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,740 : 46,560.92 = 18,633.68 : x
  2. Step 2: Convert to fraction form
    33,740/46,560.92 = 18,633.68/x
  3. Step 3: Cross multiply
    33,740x = 46,560.92 × 18,633.68
  4. Step 4: Simplify right side
    33,740x = 867,601,283.79
  5. Step 5: Solve for x
    x = 867,601,283.79/33,740
  6. Step 6: Final answer
    x = 25,714.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.