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Finding the Fourth Proportional to 34,101.42, 47,062.11 and 19,198.38

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Solution

The fourth proportional to 34,101.42, 47,062.11 and 19,198.38 is: 26,494.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,101.42 : 47,062.11 = 19,198.38 : x
  2. Step 2: Convert to fraction form
    34,101.42/47,062.11 = 19,198.38/x
  3. Step 3: Cross multiply
    34,101.42x = 47,062.11 × 19,198.38
  4. Step 4: Simplify right side
    34,101.42x = 903,516,271.38
  5. Step 5: Solve for x
    x = 903,516,271.38/34,101.42
  6. Step 6: Final answer
    x = 26,494.98

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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.