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Finding the Fourth Proportional to 53,906.98, 80,771.09 and 32,783.13

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Solution

The fourth proportional to 53,906.98, 80,771.09 and 32,783.13 is: 49,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.98 : 80,771.09 = 32,783.13 : x
  2. Step 2: Convert to fraction form
    53,906.98/80,771.09 = 32,783.13/x
  3. Step 3: Cross multiply
    53,906.98x = 80,771.09 × 32,783.13
  4. Step 4: Simplify right side
    53,906.98x = 2,647,929,143.71
  5. Step 5: Solve for x
    x = 2,647,929,143.71/53,906.98
  6. Step 6: Final answer
    x = 49,120.34

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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.