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Finding the Fourth Proportional to 66,751.05, 100,016.01 and 46,932.78

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Solution

The fourth proportional to 66,751.05, 100,016.01 and 46,932.78 is: 70,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,751.05 : 100,016.01 = 46,932.78 : x
  2. Step 2: Convert to fraction form
    66,751.05/100,016.01 = 46,932.78/x
  3. Step 3: Cross multiply
    66,751.05x = 100,016.01 × 46,932.78
  4. Step 4: Simplify right side
    66,751.05x = 4,694,029,159.14
  5. Step 5: Solve for x
    x = 4,694,029,159.14/66,751.05
  6. Step 6: Final answer
    x = 70,321.43

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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.