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Finding the Fourth Proportional to 36,141.86, 49,866.29 and 20,824.66

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Solution

The fourth proportional to 36,141.86, 49,866.29 and 20,824.66 is: 28,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,141.86 : 49,866.29 = 20,824.66 : x
  2. Step 2: Convert to fraction form
    36,141.86/49,866.29 = 20,824.66/x
  3. Step 3: Cross multiply
    36,141.86x = 49,866.29 × 20,824.66
  4. Step 4: Simplify right side
    36,141.86x = 1,038,448,181.26
  5. Step 5: Solve for x
    x = 1,038,448,181.26/36,141.86
  6. Step 6: Final answer
    x = 28,732.56

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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.