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Finding the Fourth Proportional to 29,969.32, 44,954.16 and 12,200.32

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Solution

The fourth proportional to 29,969.32, 44,954.16 and 12,200.32 is: 18,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.32 : 44,954.16 = 12,200.32 : x
  2. Step 2: Convert to fraction form
    29,969.32/44,954.16 = 12,200.32/x
  3. Step 3: Cross multiply
    29,969.32x = 44,954.16 × 12,200.32
  4. Step 4: Simplify right side
    29,969.32x = 548,455,137.33
  5. Step 5: Solve for x
    x = 548,455,137.33/29,969.32
  6. Step 6: Final answer
    x = 18,300.55

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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.