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Finding the Fourth Proportional to 33,907, 46,775.02 and 29,424.46

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Solution

The fourth proportional to 33,907, 46,775.02 and 29,424.46 is: 40,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,907 : 46,775.02 = 29,424.46 : x
  2. Step 2: Convert to fraction form
    33,907/46,775.02 = 29,424.46/x
  3. Step 3: Cross multiply
    33,907x = 46,775.02 × 29,424.46
  4. Step 4: Simplify right side
    33,907x = 1,376,329,704.99
  5. Step 5: Solve for x
    x = 1,376,329,704.99/33,907
  6. Step 6: Final answer
    x = 40,591.31

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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.