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Finding the Fourth Proportional to 36,833.52, 50,830.29 and 20,066.52

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Solution

The fourth proportional to 36,833.52, 50,830.29 and 20,066.52 is: 27,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,833.52 : 50,830.29 = 20,066.52 : x
  2. Step 2: Convert to fraction form
    36,833.52/50,830.29 = 20,066.52/x
  3. Step 3: Cross multiply
    36,833.52x = 50,830.29 × 20,066.52
  4. Step 4: Simplify right side
    36,833.52x = 1,019,987,030.89
  5. Step 5: Solve for x
    x = 1,019,987,030.89/36,833.52
  6. Step 6: Final answer
    x = 27,691.82

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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.