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Finding the Fourth Proportional to 66,205.49, 91,362.60 and 35,989.94

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Solution

The fourth proportional to 66,205.49, 91,362.60 and 35,989.94 is: 49,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205.49 : 91,362.60 = 35,989.94 : x
  2. Step 2: Convert to fraction form
    66,205.49/91,362.60 = 35,989.94/x
  3. Step 3: Cross multiply
    66,205.49x = 91,362.60 × 35,989.94
  4. Step 4: Simplify right side
    66,205.49x = 3,288,134,720.65
  5. Step 5: Solve for x
    x = 3,288,134,720.65/66,205.49
  6. Step 6: Final answer
    x = 49,665.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.