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Finding the Fourth Proportional to 35,622, 49,154.11 and 19,704.29

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Solution

The fourth proportional to 35,622, 49,154.11 and 19,704.29 is: 27,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,622 : 49,154.11 = 19,704.29 : x
  2. Step 2: Convert to fraction form
    35,622/49,154.11 = 19,704.29/x
  3. Step 3: Cross multiply
    35,622x = 49,154.11 × 19,704.29
  4. Step 4: Simplify right side
    35,622x = 968,546,543.10
  5. Step 5: Solve for x
    x = 968,546,543.10/35,622
  6. Step 6: Final answer
    x = 27,189.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.