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Finding the Fourth Proportional to 54,395.74, 81,597.56 and 22,774

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Solution

The fourth proportional to 54,395.74, 81,597.56 and 22,774 is: 34,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,395.74 : 81,597.56 = 22,774 : x
  2. Step 2: Convert to fraction form
    54,395.74/81,597.56 = 22,774/x
  3. Step 3: Cross multiply
    54,395.74x = 81,597.56 × 22,774
  4. Step 4: Simplify right side
    54,395.74x = 1,858,302,831.44
  5. Step 5: Solve for x
    x = 1,858,302,831.44/54,395.74
  6. Step 6: Final answer
    x = 34,162.65

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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.