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Finding the Fourth Proportional to 29,984.86, 44,969.44 and 8,919.24

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Solution

The fourth proportional to 29,984.86, 44,969.44 and 8,919.24 is: 13,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,984.86 : 44,969.44 = 8,919.24 : x
  2. Step 2: Convert to fraction form
    29,984.86/44,969.44 = 8,919.24/x
  3. Step 3: Cross multiply
    29,984.86x = 44,969.44 × 8,919.24
  4. Step 4: Simplify right side
    29,984.86x = 401,093,228.03
  5. Step 5: Solve for x
    x = 401,093,228.03/29,984.86
  6. Step 6: Final answer
    x = 13,376.52

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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.