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Finding the Fourth Proportional to 54,906.06, 75,766.17 and 31,034.97

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Solution

The fourth proportional to 54,906.06, 75,766.17 and 31,034.97 is: 42,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.06 : 75,766.17 = 31,034.97 : x
  2. Step 2: Convert to fraction form
    54,906.06/75,766.17 = 31,034.97/x
  3. Step 3: Cross multiply
    54,906.06x = 75,766.17 × 31,034.97
  4. Step 4: Simplify right side
    54,906.06x = 2,351,400,812.96
  5. Step 5: Solve for x
    x = 2,351,400,812.96/54,906.06
  6. Step 6: Final answer
    x = 42,825.89

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1.5x scale

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.