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Finding the Fourth Proportional to 35,613.38, 49,145.49 and 19,697.30

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Solution

The fourth proportional to 35,613.38, 49,145.49 and 19,697.30 is: 27,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613.38 : 49,145.49 = 19,697.30 : x
  2. Step 2: Convert to fraction form
    35,613.38/49,145.49 = 19,697.30/x
  3. Step 3: Cross multiply
    35,613.38x = 49,145.49 × 19,697.30
  4. Step 4: Simplify right side
    35,613.38x = 968,033,460.18
  5. Step 5: Solve for x
    x = 968,033,460.18/35,613.38
  6. Step 6: Final answer
    x = 27,181.74

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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.