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Finding the Fourth Proportional to 66,467.14, 91,722.10 and 36,659.14

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Solution

The fourth proportional to 66,467.14, 91,722.10 and 36,659.14 is: 50,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,467.14 : 91,722.10 = 36,659.14 : x
  2. Step 2: Convert to fraction form
    66,467.14/91,722.10 = 36,659.14/x
  3. Step 3: Cross multiply
    66,467.14x = 91,722.10 × 36,659.14
  4. Step 4: Simplify right side
    66,467.14x = 3,362,453,304.99
  5. Step 5: Solve for x
    x = 3,362,453,304.99/66,467.14
  6. Step 6: Final answer
    x = 50,588.21

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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.