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Finding the Fourth Proportional to 66,965.74, 100,403.55 and 35,342.33

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Solution

The fourth proportional to 66,965.74, 100,403.55 and 35,342.33 is: 52,989.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,965.74 : 100,403.55 = 35,342.33 : x
  2. Step 2: Convert to fraction form
    66,965.74/100,403.55 = 35,342.33/x
  3. Step 3: Cross multiply
    66,965.74x = 100,403.55 × 35,342.33
  4. Step 4: Simplify right side
    66,965.74x = 3,548,494,895.25
  5. Step 5: Solve for x
    x = 3,548,494,895.25/66,965.74
  6. Step 6: Final answer
    x = 52,989.71

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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.