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Finding the Fourth Proportional to 30,839.94, 46,198.25 and 14,177.13

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Solution

The fourth proportional to 30,839.94, 46,198.25 and 14,177.13 is: 21,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.94 : 46,198.25 = 14,177.13 : x
  2. Step 2: Convert to fraction form
    30,839.94/46,198.25 = 14,177.13/x
  3. Step 3: Cross multiply
    30,839.94x = 46,198.25 × 14,177.13
  4. Step 4: Simplify right side
    30,839.94x = 654,958,405.06
  5. Step 5: Solve for x
    x = 654,958,405.06/30,839.94
  6. Step 6: Final answer
    x = 21,237.34

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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.