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Finding the Fourth Proportional to 53,851.69, 80,794.02 and 27,575.02

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Solution

The fourth proportional to 53,851.69, 80,794.02 and 27,575.02 is: 41,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,851.69 : 80,794.02 = 27,575.02 : x
  2. Step 2: Convert to fraction form
    53,851.69/80,794.02 = 27,575.02/x
  3. Step 3: Cross multiply
    53,851.69x = 80,794.02 × 27,575.02
  4. Step 4: Simplify right side
    53,851.69x = 2,227,896,717.38
  5. Step 5: Solve for x
    x = 2,227,896,717.38/53,851.69
  6. Step 6: Final answer
    x = 41,370.97

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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.