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Finding the Fourth Proportional to 66,178, 91,325.64 and 36,370.64

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Solution

The fourth proportional to 66,178, 91,325.64 and 36,370.64 is: 50,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,178 : 91,325.64 = 36,370.64 : x
  2. Step 2: Convert to fraction form
    66,178/91,325.64 = 36,370.64/x
  3. Step 3: Cross multiply
    66,178x = 91,325.64 × 36,370.64
  4. Step 4: Simplify right side
    66,178x = 3,321,571,975.21
  5. Step 5: Solve for x
    x = 3,321,571,975.21/66,178
  6. Step 6: Final answer
    x = 50,191.48

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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.