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Finding the Fourth Proportional to 37,783, 56,676.84 and 11,489.68

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Solution

The fourth proportional to 37,783, 56,676.84 and 11,489.68 is: 17,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783 : 56,676.84 = 11,489.68 : x
  2. Step 2: Convert to fraction form
    37,783/56,676.84 = 11,489.68/x
  3. Step 3: Cross multiply
    37,783x = 56,676.84 × 11,489.68
  4. Step 4: Simplify right side
    37,783x = 651,198,755.01
  5. Step 5: Solve for x
    x = 651,198,755.01/37,783
  6. Step 6: Final answer
    x = 17,235.23

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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.