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Finding the Fourth Proportional to 33,825.62, 46,677.21 and 18,509.06

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Solution

The fourth proportional to 33,825.62, 46,677.21 and 18,509.06 is: 25,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,825.62 : 46,677.21 = 18,509.06 : x
  2. Step 2: Convert to fraction form
    33,825.62/46,677.21 = 18,509.06/x
  3. Step 3: Cross multiply
    33,825.62x = 46,677.21 × 18,509.06
  4. Step 4: Simplify right side
    33,825.62x = 863,951,280.52
  5. Step 5: Solve for x
    x = 863,951,280.52/33,825.62
  6. Step 6: Final answer
    x = 25,541.33

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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.