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Finding the Fourth Proportional to 33,453.84, 46,142.12 and 28,410.10

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Solution

The fourth proportional to 33,453.84, 46,142.12 and 28,410.10 is: 39,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,453.84 : 46,142.12 = 28,410.10 : x
  2. Step 2: Convert to fraction form
    33,453.84/46,142.12 = 28,410.10/x
  3. Step 3: Cross multiply
    33,453.84x = 46,142.12 × 28,410.10
  4. Step 4: Simplify right side
    33,453.84x = 1,310,902,243.41
  5. Step 5: Solve for x
    x = 1,310,902,243.41/33,453.84
  6. Step 6: Final answer
    x = 39,185.40

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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.