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Finding the Fourth Proportional to 33,684.26, 50,637.09 and 31,248.46

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Solution

The fourth proportional to 33,684.26, 50,637.09 and 31,248.46 is: 46,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684.26 : 50,637.09 = 31,248.46 : x
  2. Step 2: Convert to fraction form
    33,684.26/50,637.09 = 31,248.46/x
  3. Step 3: Cross multiply
    33,684.26x = 50,637.09 × 31,248.46
  4. Step 4: Simplify right side
    33,684.26x = 1,582,330,828.20
  5. Step 5: Solve for x
    x = 1,582,330,828.20/33,684.26
  6. Step 6: Final answer
    x = 46,975.38

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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.