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Finding the Fourth Proportional to 33,496.56, 46,226.72 and 20,070

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Solution

The fourth proportional to 33,496.56, 46,226.72 and 20,070 is: 27,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,496.56 : 46,226.72 = 20,070 : x
  2. Step 2: Convert to fraction form
    33,496.56/46,226.72 = 20,070/x
  3. Step 3: Cross multiply
    33,496.56x = 46,226.72 × 20,070
  4. Step 4: Simplify right side
    33,496.56x = 927,770,270.40
  5. Step 5: Solve for x
    x = 927,770,270.40/33,496.56
  6. Step 6: Final answer
    x = 27,697.48

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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.