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Finding the Fourth Proportional to 39,447.38, 54,434.94 and 21,538.82

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Solution

The fourth proportional to 39,447.38, 54,434.94 and 21,538.82 is: 29,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,447.38 : 54,434.94 = 21,538.82 : x
  2. Step 2: Convert to fraction form
    39,447.38/54,434.94 = 21,538.82/x
  3. Step 3: Cross multiply
    39,447.38x = 54,434.94 × 21,538.82
  4. Step 4: Simplify right side
    39,447.38x = 1,172,464,374.37
  5. Step 5: Solve for x
    x = 1,172,464,374.37/39,447.38
  6. Step 6: Final answer
    x = 29,722.24

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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.