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Finding the Fourth Proportional to 27,868.94, 38,429.31 and 21,078.38

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Solution

The fourth proportional to 27,868.94, 38,429.31 and 21,078.38 is: 29,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,868.94 : 38,429.31 = 21,078.38 : x
  2. Step 2: Convert to fraction form
    27,868.94/38,429.31 = 21,078.38/x
  3. Step 3: Cross multiply
    27,868.94x = 38,429.31 × 21,078.38
  4. Step 4: Simplify right side
    27,868.94x = 810,027,599.32
  5. Step 5: Solve for x
    x = 810,027,599.32/27,868.94
  6. Step 6: Final answer
    x = 29,065.60

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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.