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Finding the Fourth Proportional to 54,762.38, 75,580.28 and 33,553.94

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Solution

The fourth proportional to 54,762.38, 75,580.28 and 33,553.94 is: 46,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762.38 : 75,580.28 = 33,553.94 : x
  2. Step 2: Convert to fraction form
    54,762.38/75,580.28 = 33,553.94/x
  3. Step 3: Cross multiply
    54,762.38x = 75,580.28 × 33,553.94
  4. Step 4: Simplify right side
    54,762.38x = 2,536,016,453.14
  5. Step 5: Solve for x
    x = 2,536,016,453.14/54,762.38
  6. Step 6: Final answer
    x = 46,309.47

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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.