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Finding the Fourth Proportional to 30,302.98, 41,796.57 and 20,226.34

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Solution

The fourth proportional to 30,302.98, 41,796.57 and 20,226.34 is: 27,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.98 : 41,796.57 = 20,226.34 : x
  2. Step 2: Convert to fraction form
    30,302.98/41,796.57 = 20,226.34/x
  3. Step 3: Cross multiply
    30,302.98x = 41,796.57 × 20,226.34
  4. Step 4: Simplify right side
    30,302.98x = 845,391,635.65
  5. Step 5: Solve for x
    x = 845,391,635.65/30,302.98
  6. Step 6: Final answer
    x = 27,897.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.