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Finding the Fourth Proportional to 38,410.81, 57,651.90 and 19,704.22

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Solution

The fourth proportional to 38,410.81, 57,651.90 and 19,704.22 is: 29,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,410.81 : 57,651.90 = 19,704.22 : x
  2. Step 2: Convert to fraction form
    38,410.81/57,651.90 = 19,704.22/x
  3. Step 3: Cross multiply
    38,410.81x = 57,651.90 × 19,704.22
  4. Step 4: Simplify right side
    38,410.81x = 1,135,985,721.02
  5. Step 5: Solve for x
    x = 1,135,985,721.02/38,410.81
  6. Step 6: Final answer
    x = 29,574.64

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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.