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Finding the Fourth Proportional to 34,108.42, 47,071.78 and 19,205.38

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Solution

The fourth proportional to 34,108.42, 47,071.78 and 19,205.38 is: 26,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,108.42 : 47,071.78 = 19,205.38 : x
  2. Step 2: Convert to fraction form
    34,108.42/47,071.78 = 19,205.38/x
  3. Step 3: Cross multiply
    34,108.42x = 47,071.78 × 19,205.38
  4. Step 4: Simplify right side
    34,108.42x = 904,031,422.18
  5. Step 5: Solve for x
    x = 904,031,422.18/34,108.42
  6. Step 6: Final answer
    x = 26,504.64

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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.