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Finding the Fourth Proportional to 34,676.74, 47,902.89 and 27,594.10

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Solution

The fourth proportional to 34,676.74, 47,902.89 and 27,594.10 is: 38,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,676.74 : 47,902.89 = 27,594.10 : x
  2. Step 2: Convert to fraction form
    34,676.74/47,902.89 = 27,594.10/x
  3. Step 3: Cross multiply
    34,676.74x = 47,902.89 × 27,594.10
  4. Step 4: Simplify right side
    34,676.74x = 1,321,837,136.95
  5. Step 5: Solve for x
    x = 1,321,837,136.95/34,676.74
  6. Step 6: Final answer
    x = 38,118.84

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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.