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Finding the Fourth Proportional to 33,859.58, 46,738.75 and 20,431.40

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Solution

The fourth proportional to 33,859.58, 46,738.75 and 20,431.40 is: 28,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,859.58 : 46,738.75 = 20,431.40 : x
  2. Step 2: Convert to fraction form
    33,859.58/46,738.75 = 20,431.40/x
  3. Step 3: Cross multiply
    33,859.58x = 46,738.75 × 20,431.40
  4. Step 4: Simplify right side
    33,859.58x = 954,937,863.06
  5. Step 5: Solve for x
    x = 954,937,863.06/33,859.58
  6. Step 6: Final answer
    x = 28,202.89

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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.