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Finding the Fourth Proportional to 29,290.06, 43,942.06 and 9,568.60

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Solution

The fourth proportional to 29,290.06, 43,942.06 and 9,568.60 is: 14,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,290.06 : 43,942.06 = 9,568.60 : x
  2. Step 2: Convert to fraction form
    29,290.06/43,942.06 = 9,568.60/x
  3. Step 3: Cross multiply
    29,290.06x = 43,942.06 × 9,568.60
  4. Step 4: Simplify right side
    29,290.06x = 420,463,995.32
  5. Step 5: Solve for x
    x = 420,463,995.32/29,290.06
  6. Step 6: Final answer
    x = 14,355.18

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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.