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Finding the Fourth Proportional to 66,967, 92,414.46 and 37,159

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Solution

The fourth proportional to 66,967, 92,414.46 and 37,159 is: 51,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,967 : 92,414.46 = 37,159 : x
  2. Step 2: Convert to fraction form
    66,967/92,414.46 = 37,159/x
  3. Step 3: Cross multiply
    66,967x = 92,414.46 × 37,159
  4. Step 4: Simplify right side
    66,967x = 3,434,028,919.14
  5. Step 5: Solve for x
    x = 3,434,028,919.14/66,967
  6. Step 6: Final answer
    x = 51,279.42

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1.5x scale

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.