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Finding the Fourth Proportional to 30,841.65, 46,234.13 and 11,115.38

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Solution

The fourth proportional to 30,841.65, 46,234.13 and 11,115.38 is: 16,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.65 : 46,234.13 = 11,115.38 : x
  2. Step 2: Convert to fraction form
    30,841.65/46,234.13 = 11,115.38/x
  3. Step 3: Cross multiply
    30,841.65x = 46,234.13 × 11,115.38
  4. Step 4: Simplify right side
    30,841.65x = 513,909,983.93
  5. Step 5: Solve for x
    x = 513,909,983.93/30,841.65
  6. Step 6: Final answer
    x = 16,662.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.