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Finding the Fourth Proportional to 66,464.26, 91,718.14 and 36,656.26

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Solution

The fourth proportional to 66,464.26, 91,718.14 and 36,656.26 is: 50,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,464.26 : 91,718.14 = 36,656.26 : x
  2. Step 2: Convert to fraction form
    66,464.26/91,718.14 = 36,656.26/x
  3. Step 3: Cross multiply
    66,464.26x = 91,718.14 × 36,656.26
  4. Step 4: Simplify right side
    66,464.26x = 3,362,043,986.56
  5. Step 5: Solve for x
    x = 3,362,043,986.56/66,464.26
  6. Step 6: Final answer
    x = 50,584.24

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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.