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Finding the Fourth Proportional to 66,857.76, 100,286.64 and 31,778.28

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Solution

The fourth proportional to 66,857.76, 100,286.64 and 31,778.28 is: 47,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,857.76 : 100,286.64 = 31,778.28 : x
  2. Step 2: Convert to fraction form
    66,857.76/100,286.64 = 31,778.28/x
  3. Step 3: Cross multiply
    66,857.76x = 100,286.64 × 31,778.28
  4. Step 4: Simplify right side
    66,857.76x = 3,186,936,926.18
  5. Step 5: Solve for x
    x = 3,186,936,926.18/66,857.76
  6. Step 6: Final answer
    x = 47,667.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.