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Finding the Fourth Proportional to 36,977, 51,010.42 and 24,224.64

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Solution

The fourth proportional to 36,977, 51,010.42 and 24,224.64 is: 33,418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,977 : 51,010.42 = 24,224.64 : x
  2. Step 2: Convert to fraction form
    36,977/51,010.42 = 24,224.64/x
  3. Step 3: Cross multiply
    36,977x = 51,010.42 × 24,224.64
  4. Step 4: Simplify right side
    36,977x = 1,235,709,060.75
  5. Step 5: Solve for x
    x = 1,235,709,060.75/36,977
  6. Step 6: Final answer
    x = 33,418.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.