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Finding the Fourth Proportional to 53,218.80, 73,454.76 and 31,993.97

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Solution

The fourth proportional to 53,218.80, 73,454.76 and 31,993.97 is: 44,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,218.80 : 73,454.76 = 31,993.97 : x
  2. Step 2: Convert to fraction form
    53,218.80/73,454.76 = 31,993.97/x
  3. Step 3: Cross multiply
    53,218.80x = 73,454.76 × 31,993.97
  4. Step 4: Simplify right side
    53,218.80x = 2,350,109,020.52
  5. Step 5: Solve for x
    x = 2,350,109,020.52/53,218.80
  6. Step 6: Final answer
    x = 44,159.38

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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.