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Finding the Fourth Proportional to 33,258.51, 49,858.10 and 12,193.63

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Solution

The fourth proportional to 33,258.51, 49,858.10 and 12,193.63 is: 18,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258.51 : 49,858.10 = 12,193.63 : x
  2. Step 2: Convert to fraction form
    33,258.51/49,858.10 = 12,193.63/x
  3. Step 3: Cross multiply
    33,258.51x = 49,858.10 × 12,193.63
  4. Step 4: Simplify right side
    33,258.51x = 607,951,355.13
  5. Step 5: Solve for x
    x = 607,951,355.13/33,258.51
  6. Step 6: Final answer
    x = 18,279.57

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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.