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Finding the Fourth Proportional to 57,783, 86,676.96 and 18,339.24

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Solution

The fourth proportional to 57,783, 86,676.96 and 18,339.24 is: 27,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783 : 86,676.96 = 18,339.24 : x
  2. Step 2: Convert to fraction form
    57,783/86,676.96 = 18,339.24/x
  3. Step 3: Cross multiply
    57,783x = 86,676.96 × 18,339.24
  4. Step 4: Simplify right side
    57,783x = 1,589,589,571.91
  5. Step 5: Solve for x
    x = 1,589,589,571.91/57,783
  6. Step 6: Final answer
    x = 27,509.64

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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.