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Finding the Fourth Proportional to 53,806.73, 80,608.77 and 31,554

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Solution

The fourth proportional to 53,806.73, 80,608.77 and 31,554 is: 47,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806.73 : 80,608.77 = 31,554 : x
  2. Step 2: Convert to fraction form
    53,806.73/80,608.77 = 31,554/x
  3. Step 3: Cross multiply
    53,806.73x = 80,608.77 × 31,554
  4. Step 4: Simplify right side
    53,806.73x = 2,543,529,128.58
  5. Step 5: Solve for x
    x = 2,543,529,128.58/53,806.73
  6. Step 6: Final answer
    x = 47,271.58

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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.