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Finding the Fourth Proportional to 30,907.64, 46,361.50 and 11,181.58

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Solution

The fourth proportional to 30,907.64, 46,361.50 and 11,181.58 is: 16,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.64 : 46,361.50 = 11,181.58 : x
  2. Step 2: Convert to fraction form
    30,907.64/46,361.50 = 11,181.58/x
  3. Step 3: Cross multiply
    30,907.64x = 46,361.50 × 11,181.58
  4. Step 4: Simplify right side
    30,907.64x = 518,394,677.31
  5. Step 5: Solve for x
    x = 518,394,677.31/30,907.64
  6. Step 6: Final answer
    x = 16,772.38

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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.