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Finding the Fourth Proportional to 53,851.44, 80,793.64 and 27,574.78

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Solution

The fourth proportional to 53,851.44, 80,793.64 and 27,574.78 is: 41,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,851.44 : 80,793.64 = 27,574.78 : x
  2. Step 2: Convert to fraction form
    53,851.44/80,793.64 = 27,574.78/x
  3. Step 3: Cross multiply
    53,851.44x = 80,793.64 × 27,574.78
  4. Step 4: Simplify right side
    53,851.44x = 2,227,866,848.40
  5. Step 5: Solve for x
    x = 2,227,866,848.40/53,851.44
  6. Step 6: Final answer
    x = 41,370.61

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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.