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Finding the Fourth Proportional to 30,844.85, 46,268.91 and 9,786.49

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Solution

The fourth proportional to 30,844.85, 46,268.91 and 9,786.49 is: 14,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.85 : 46,268.91 = 9,786.49 : x
  2. Step 2: Convert to fraction form
    30,844.85/46,268.91 = 9,786.49/x
  3. Step 3: Cross multiply
    30,844.85x = 46,268.91 × 9,786.49
  4. Step 4: Simplify right side
    30,844.85x = 452,810,109.35
  5. Step 5: Solve for x
    x = 452,810,109.35/30,844.85
  6. Step 6: Final answer
    x = 14,680.25

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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.