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Finding the Fourth Proportional to 32,843.84, 49,220.34 and 28,450.40

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Solution

The fourth proportional to 32,843.84, 49,220.34 and 28,450.40 is: 42,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.84 : 49,220.34 = 28,450.40 : x
  2. Step 2: Convert to fraction form
    32,843.84/49,220.34 = 28,450.40/x
  3. Step 3: Cross multiply
    32,843.84x = 49,220.34 × 28,450.40
  4. Step 4: Simplify right side
    32,843.84x = 1,400,338,361.14
  5. Step 5: Solve for x
    x = 1,400,338,361.14/32,843.84
  6. Step 6: Final answer
    x = 42,636.26

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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.