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Finding the Fourth Proportional to 30,841.29, 46,262.06 and 7,467.69

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Solution

The fourth proportional to 30,841.29, 46,262.06 and 7,467.69 is: 11,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.29 : 46,262.06 = 7,467.69 : x
  2. Step 2: Convert to fraction form
    30,841.29/46,262.06 = 7,467.69/x
  3. Step 3: Cross multiply
    30,841.29x = 46,262.06 × 7,467.69
  4. Step 4: Simplify right side
    30,841.29x = 345,470,685.50
  5. Step 5: Solve for x
    x = 345,470,685.50/30,841.29
  6. Step 6: Final answer
    x = 11,201.56

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Why These Related Problems?

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