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Finding the Fourth Proportional to 29,850.75, 41,198.00 and 19,271.13

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Solution

The fourth proportional to 29,850.75, 41,198.00 and 19,271.13 is: 26,596.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,850.75 : 41,198.00 = 19,271.13 : x
  2. Step 2: Convert to fraction form
    29,850.75/41,198.00 = 19,271.13/x
  3. Step 3: Cross multiply
    29,850.75x = 41,198.00 × 19,271.13
  4. Step 4: Simplify right side
    29,850.75x = 793,931,917.38
  5. Step 5: Solve for x
    x = 793,931,917.38/29,850.75
  6. Step 6: Final answer
    x = 26,596.72

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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.