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Finding the Fourth Proportional to 54,576.49, 75,324.75 and 31,602.97

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Solution

The fourth proportional to 54,576.49, 75,324.75 and 31,602.97 is: 43,617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,576.49 : 75,324.75 = 31,602.97 : x
  2. Step 2: Convert to fraction form
    54,576.49/75,324.75 = 31,602.97/x
  3. Step 3: Cross multiply
    54,576.49x = 75,324.75 × 31,602.97
  4. Step 4: Simplify right side
    54,576.49x = 2,380,485,814.51
  5. Step 5: Solve for x
    x = 2,380,485,814.51/54,576.49
  6. Step 6: Final answer
    x = 43,617.42

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1.5x scale

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.