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Finding the Fourth Proportional to 30,678.32, 46,019.91 and 8,189.08

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Solution

The fourth proportional to 30,678.32, 46,019.91 and 8,189.08 is: 12,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.32 : 46,019.91 = 8,189.08 : x
  2. Step 2: Convert to fraction form
    30,678.32/46,019.91 = 8,189.08/x
  3. Step 3: Cross multiply
    30,678.32x = 46,019.91 × 8,189.08
  4. Step 4: Simplify right side
    30,678.32x = 376,860,724.58
  5. Step 5: Solve for x
    x = 376,860,724.58/30,678.32
  6. Step 6: Final answer
    x = 12,284.27

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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.