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Finding the Fourth Proportional to 34,676.58, 47,841.76 and 19,567.38

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Solution

The fourth proportional to 34,676.58, 47,841.76 and 19,567.38 is: 26,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,676.58 : 47,841.76 = 19,567.38 : x
  2. Step 2: Convert to fraction form
    34,676.58/47,841.76 = 19,567.38/x
  3. Step 3: Cross multiply
    34,676.58x = 47,841.76 × 19,567.38
  4. Step 4: Simplify right side
    34,676.58x = 936,137,897.79
  5. Step 5: Solve for x
    x = 936,137,897.79/34,676.58
  6. Step 6: Final answer
    x = 26,996.26

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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.