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Finding the Fourth Proportional to 39,841, 54,980.58 and 22,177

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Solution

The fourth proportional to 39,841, 54,980.58 and 22,177 is: 30,604.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,841 : 54,980.58 = 22,177 : x
  2. Step 2: Convert to fraction form
    39,841/54,980.58 = 22,177/x
  3. Step 3: Cross multiply
    39,841x = 54,980.58 × 22,177
  4. Step 4: Simplify right side
    39,841x = 1,219,304,322.66
  5. Step 5: Solve for x
    x = 1,219,304,322.66/39,841
  6. Step 6: Final answer
    x = 30,604.26

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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.