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Finding the Fourth Proportional to 30,878.58, 46,331.69 and 14,229.69

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Solution

The fourth proportional to 30,878.58, 46,331.69 and 14,229.69 is: 21,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.58 : 46,331.69 = 14,229.69 : x
  2. Step 2: Convert to fraction form
    30,878.58/46,331.69 = 14,229.69/x
  3. Step 3: Cross multiply
    30,878.58x = 46,331.69 × 14,229.69
  4. Step 4: Simplify right side
    30,878.58x = 659,285,585.88
  5. Step 5: Solve for x
    x = 659,285,585.88/30,878.58
  6. Step 6: Final answer
    x = 21,350.90

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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.