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Finding the Fourth Proportional to 33,998.68, 46,903.09 and 22,657.13

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Solution

The fourth proportional to 33,998.68, 46,903.09 and 22,657.13 is: 31,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998.68 : 46,903.09 = 22,657.13 : x
  2. Step 2: Convert to fraction form
    33,998.68/46,903.09 = 22,657.13/x
  3. Step 3: Cross multiply
    33,998.68x = 46,903.09 × 22,657.13
  4. Step 4: Simplify right side
    33,998.68x = 1,062,689,407.53
  5. Step 5: Solve for x
    x = 1,062,689,407.53/33,998.68
  6. Step 6: Final answer
    x = 31,256.78

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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.