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Finding the Fourth Proportional to 30,844.39, 46,259.66 and 14,188.42

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Solution

The fourth proportional to 30,844.39, 46,259.66 and 14,188.42 is: 21,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.39 : 46,259.66 = 14,188.42 : x
  2. Step 2: Convert to fraction form
    30,844.39/46,259.66 = 14,188.42/x
  3. Step 3: Cross multiply
    30,844.39x = 46,259.66 × 14,188.42
  4. Step 4: Simplify right side
    30,844.39x = 656,351,485.14
  5. Step 5: Solve for x
    x = 656,351,485.14/30,844.39
  6. Step 6: Final answer
    x = 21,279.44

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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.