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Finding the Fourth Proportional to 33,495.30, 50,196.03 and 25,170

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Solution

The fourth proportional to 33,495.30, 50,196.03 and 25,170 is: 37,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,495.30 : 50,196.03 = 25,170 : x
  2. Step 2: Convert to fraction form
    33,495.30/50,196.03 = 25,170/x
  3. Step 3: Cross multiply
    33,495.30x = 50,196.03 × 25,170
  4. Step 4: Simplify right side
    33,495.30x = 1,263,434,075.10
  5. Step 5: Solve for x
    x = 1,263,434,075.10/33,495.30
  6. Step 6: Final answer
    x = 37,719.74

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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.