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Finding the Fourth Proportional to 30,853.14, 46,279.26 and 7,479.42

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Solution

The fourth proportional to 30,853.14, 46,279.26 and 7,479.42 is: 11,219.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.14 : 46,279.26 = 7,479.42 : x
  2. Step 2: Convert to fraction form
    30,853.14/46,279.26 = 7,479.42/x
  3. Step 3: Cross multiply
    30,853.14x = 46,279.26 × 7,479.42
  4. Step 4: Simplify right side
    30,853.14x = 346,142,022.83
  5. Step 5: Solve for x
    x = 346,142,022.83/30,853.14
  6. Step 6: Final answer
    x = 11,219.02

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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.