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Finding the Fourth Proportional to 70,280.67, 105,467.70 and 32,843.64

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Solution

The fourth proportional to 70,280.67, 105,467.70 and 32,843.64 is: 49,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,280.67 : 105,467.70 = 32,843.64 : x
  2. Step 2: Convert to fraction form
    70,280.67/105,467.70 = 32,843.64/x
  3. Step 3: Cross multiply
    70,280.67x = 105,467.70 × 32,843.64
  4. Step 4: Simplify right side
    70,280.67x = 3,463,943,170.43
  5. Step 5: Solve for x
    x = 3,463,943,170.43/70,280.67
  6. Step 6: Final answer
    x = 49,287.28

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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.