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Finding the Fourth Proportional to 33,931.36, 46,825.56 and 18,825

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Solution

The fourth proportional to 33,931.36, 46,825.56 and 18,825 is: 25,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,931.36 : 46,825.56 = 18,825 : x
  2. Step 2: Convert to fraction form
    33,931.36/46,825.56 = 18,825/x
  3. Step 3: Cross multiply
    33,931.36x = 46,825.56 × 18,825
  4. Step 4: Simplify right side
    33,931.36x = 881,491,167
  5. Step 5: Solve for x
    x = 881,491,167/33,931.36
  6. Step 6: Final answer
    x = 25,978.66

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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.