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Finding the Fourth Proportional to 33,903.06, 50,824.63 and 12,828.46

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Solution

The fourth proportional to 33,903.06, 50,824.63 and 12,828.46 is: 19,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,903.06 : 50,824.63 = 12,828.46 : x
  2. Step 2: Convert to fraction form
    33,903.06/50,824.63 = 12,828.46/x
  3. Step 3: Cross multiply
    33,903.06x = 50,824.63 × 12,828.46
  4. Step 4: Simplify right side
    33,903.06x = 652,001,877.54
  5. Step 5: Solve for x
    x = 652,001,877.54/33,903.06
  6. Step 6: Final answer
    x = 19,231.36

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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.