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Finding the Fourth Proportional to 66,849.58, 100,206.88 and 41,907.14

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Solution

The fourth proportional to 66,849.58, 100,206.88 and 41,907.14 is: 62,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,849.58 : 100,206.88 = 41,907.14 : x
  2. Step 2: Convert to fraction form
    66,849.58/100,206.88 = 41,907.14/x
  3. Step 3: Cross multiply
    66,849.58x = 100,206.88 × 41,907.14
  4. Step 4: Simplify right side
    66,849.58x = 4,199,383,894.87
  5. Step 5: Solve for x
    x = 4,199,383,894.87/66,849.58
  6. Step 6: Final answer
    x = 62,818.41

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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.