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Finding the Fourth Proportional to 53,798.73, 80,596.77 and 31,546

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Solution

The fourth proportional to 53,798.73, 80,596.77 and 31,546 is: 47,259.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,798.73 : 80,596.77 = 31,546 : x
  2. Step 2: Convert to fraction form
    53,798.73/80,596.77 = 31,546/x
  3. Step 3: Cross multiply
    53,798.73x = 80,596.77 × 31,546
  4. Step 4: Simplify right side
    53,798.73x = 2,542,505,706.42
  5. Step 5: Solve for x
    x = 2,542,505,706.42/53,798.73
  6. Step 6: Final answer
    x = 47,259.59

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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.