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Finding the Fourth Proportional to 30,873.50, 46,310.22 and 7,499.91

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Solution

The fourth proportional to 30,873.50, 46,310.22 and 7,499.91 is: 11,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873.50 : 46,310.22 = 7,499.91 : x
  2. Step 2: Convert to fraction form
    30,873.50/46,310.22 = 7,499.91/x
  3. Step 3: Cross multiply
    30,873.50x = 46,310.22 × 7,499.91
  4. Step 4: Simplify right side
    30,873.50x = 347,322,482.08
  5. Step 5: Solve for x
    x = 347,322,482.08/30,873.50
  6. Step 6: Final answer
    x = 11,249.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.