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Finding the Fourth Proportional to 66,884.92, 100,327.56 and 16,965.06

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Solution

The fourth proportional to 66,884.92, 100,327.56 and 16,965.06 is: 25,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,884.92 : 100,327.56 = 16,965.06 : x
  2. Step 2: Convert to fraction form
    66,884.92/100,327.56 = 16,965.06/x
  3. Step 3: Cross multiply
    66,884.92x = 100,327.56 × 16,965.06
  4. Step 4: Simplify right side
    66,884.92x = 1,702,063,075.05
  5. Step 5: Solve for x
    x = 1,702,063,075.05/66,884.92
  6. Step 6: Final answer
    x = 25,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.