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Finding the Fourth Proportional to 33,829.16, 46,685.01 and 21,913.24

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Solution

The fourth proportional to 33,829.16, 46,685.01 and 21,913.24 is: 30,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.16 : 46,685.01 = 21,913.24 : x
  2. Step 2: Convert to fraction form
    33,829.16/46,685.01 = 21,913.24/x
  3. Step 3: Cross multiply
    33,829.16x = 46,685.01 × 21,913.24
  4. Step 4: Simplify right side
    33,829.16x = 1,023,019,485.54
  5. Step 5: Solve for x
    x = 1,023,019,485.54/33,829.16
  6. Step 6: Final answer
    x = 30,240.76

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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.