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Finding the Fourth Proportional to 29,742.50, 44,621.04 and 8,966

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Solution

The fourth proportional to 29,742.50, 44,621.04 and 8,966 is: 13,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,742.50 : 44,621.04 = 8,966 : x
  2. Step 2: Convert to fraction form
    29,742.50/44,621.04 = 8,966/x
  3. Step 3: Cross multiply
    29,742.50x = 44,621.04 × 8,966
  4. Step 4: Simplify right side
    29,742.50x = 400,072,244.64
  5. Step 5: Solve for x
    x = 400,072,244.64/29,742.50
  6. Step 6: Final answer
    x = 13,451.20

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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.