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Finding the Fourth Proportional to 30,843.39, 46,258.16 and 14,187.42

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Solution

The fourth proportional to 30,843.39, 46,258.16 and 14,187.42 is: 21,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.39 : 46,258.16 = 14,187.42 : x
  2. Step 2: Convert to fraction form
    30,843.39/46,258.16 = 14,187.42/x
  3. Step 3: Cross multiply
    30,843.39x = 46,258.16 × 14,187.42
  4. Step 4: Simplify right side
    30,843.39x = 656,284,100.08
  5. Step 5: Solve for x
    x = 656,284,100.08/30,843.39
  6. Step 6: Final answer
    x = 21,277.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.