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Finding the Fourth Proportional to 76,843.46, 106,019.80 and 46,202.78

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Solution

The fourth proportional to 76,843.46, 106,019.80 and 46,202.78 is: 63,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.46 : 106,019.80 = 46,202.78 : x
  2. Step 2: Convert to fraction form
    76,843.46/106,019.80 = 46,202.78/x
  3. Step 3: Cross multiply
    76,843.46x = 106,019.80 × 46,202.78
  4. Step 4: Simplify right side
    76,843.46x = 4,898,408,849.44
  5. Step 5: Solve for x
    x = 4,898,408,849.44/76,843.46
  6. Step 6: Final answer
    x = 63,745.30

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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.