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Finding the Fourth Proportional to 33,662.64, 46,464.96 and 21,726

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Solution

The fourth proportional to 33,662.64, 46,464.96 and 21,726 is: 29,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,662.64 : 46,464.96 = 21,726 : x
  2. Step 2: Convert to fraction form
    33,662.64/46,464.96 = 21,726/x
  3. Step 3: Cross multiply
    33,662.64x = 46,464.96 × 21,726
  4. Step 4: Simplify right side
    33,662.64x = 1,009,497,720.96
  5. Step 5: Solve for x
    x = 1,009,497,720.96/33,662.64
  6. Step 6: Final answer
    x = 29,988.67

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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.