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Finding the Fourth Proportional to 35,834.59, 49,451.83 and 19,919.08

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Solution

The fourth proportional to 35,834.59, 49,451.83 and 19,919.08 is: 27,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.59 : 49,451.83 = 19,919.08 : x
  2. Step 2: Convert to fraction form
    35,834.59/49,451.83 = 19,919.08/x
  3. Step 3: Cross multiply
    35,834.59x = 49,451.83 × 19,919.08
  4. Step 4: Simplify right side
    35,834.59x = 985,034,969.93
  5. Step 5: Solve for x
    x = 985,034,969.93/35,834.59
  6. Step 6: Final answer
    x = 27,488.38

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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.