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Finding the Fourth Proportional to 36,992, 51,048.96 and 23,767.04

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Solution

The fourth proportional to 36,992, 51,048.96 and 23,767.04 is: 32,798.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,992 : 51,048.96 = 23,767.04 : x
  2. Step 2: Convert to fraction form
    36,992/51,048.96 = 23,767.04/x
  3. Step 3: Cross multiply
    36,992x = 51,048.96 × 23,767.04
  4. Step 4: Simplify right side
    36,992x = 1,213,282,674.28
  5. Step 5: Solve for x
    x = 1,213,282,674.28/36,992
  6. Step 6: Final answer
    x = 32,798.52

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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.