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Finding the Fourth Proportional to 29,290.07, 43,942.05 and 9,568.59

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Solution

The fourth proportional to 29,290.07, 43,942.05 and 9,568.59 is: 14,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,290.07 : 43,942.05 = 9,568.59 : x
  2. Step 2: Convert to fraction form
    29,290.07/43,942.05 = 9,568.59/x
  3. Step 3: Cross multiply
    29,290.07x = 43,942.05 × 9,568.59
  4. Step 4: Simplify right side
    29,290.07x = 420,463,460.21
  5. Step 5: Solve for x
    x = 420,463,460.21/29,290.07
  6. Step 6: Final answer
    x = 14,355.16

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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.