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Finding the Fourth Proportional to 54,536.48, 75,260 and 30,662

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Solution

The fourth proportional to 54,536.48, 75,260 and 30,662 is: 42,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,536.48 : 75,260 = 30,662 : x
  2. Step 2: Convert to fraction form
    54,536.48/75,260 = 30,662/x
  3. Step 3: Cross multiply
    54,536.48x = 75,260 × 30,662
  4. Step 4: Simplify right side
    54,536.48x = 2,307,622,120
  5. Step 5: Solve for x
    x = 2,307,622,120/54,536.48
  6. Step 6: Final answer
    x = 42,313.37

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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.