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Finding the Fourth Proportional to 27,865.94, 38,425.17 and 21,075.38

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Solution

The fourth proportional to 27,865.94, 38,425.17 and 21,075.38 is: 29,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.94 : 38,425.17 = 21,075.38 : x
  2. Step 2: Convert to fraction form
    27,865.94/38,425.17 = 21,075.38/x
  3. Step 3: Cross multiply
    27,865.94x = 38,425.17 × 21,075.38
  4. Step 4: Simplify right side
    27,865.94x = 809,825,059.31
  5. Step 5: Solve for x
    x = 809,825,059.31/27,865.94
  6. Step 6: Final answer
    x = 29,061.47

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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.