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Finding the Fourth Proportional to 54,679.33, 75,457.74 and 30,806.38

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Solution

The fourth proportional to 54,679.33, 75,457.74 and 30,806.38 is: 42,512.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,679.33 : 75,457.74 = 30,806.38 : x
  2. Step 2: Convert to fraction form
    54,679.33/75,457.74 = 30,806.38/x
  3. Step 3: Cross multiply
    54,679.33x = 75,457.74 × 30,806.38
  4. Step 4: Simplify right side
    54,679.33x = 2,324,579,812.38
  5. Step 5: Solve for x
    x = 2,324,579,812.38/54,679.33
  6. Step 6: Final answer
    x = 42,512.95

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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.