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Finding the Fourth Proportional to 54,548.38, 75,277.22 and 30,674.84

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Solution

The fourth proportional to 54,548.38, 75,277.22 and 30,674.84 is: 42,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.38 : 75,277.22 = 30,674.84 : x
  2. Step 2: Convert to fraction form
    54,548.38/75,277.22 = 30,674.84/x
  3. Step 3: Cross multiply
    54,548.38x = 75,277.22 × 30,674.84
  4. Step 4: Simplify right side
    54,548.38x = 2,309,116,525.77
  5. Step 5: Solve for x
    x = 2,309,116,525.77/54,548.38
  6. Step 6: Final answer
    x = 42,331.54

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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.