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Finding the Fourth Proportional to 50,649, 75,780.72 and 30,584.64

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Solution

The fourth proportional to 50,649, 75,780.72 and 30,584.64 is: 45,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,649 : 75,780.72 = 30,584.64 : x
  2. Step 2: Convert to fraction form
    50,649/75,780.72 = 30,584.64/x
  3. Step 3: Cross multiply
    50,649x = 75,780.72 × 30,584.64
  4. Step 4: Simplify right side
    50,649x = 2,317,726,040.14
  5. Step 5: Solve for x
    x = 2,317,726,040.14/50,649
  6. Step 6: Final answer
    x = 45,760.55

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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.