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Finding the Fourth Proportional to 49,947, 68,927.40 and 27,591

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Solution

The fourth proportional to 49,947, 68,927.40 and 27,591 is: 38,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,947 : 68,927.40 = 27,591 : x
  2. Step 2: Convert to fraction form
    49,947/68,927.40 = 27,591/x
  3. Step 3: Cross multiply
    49,947x = 68,927.40 × 27,591
  4. Step 4: Simplify right side
    49,947x = 1,901,775,893.40
  5. Step 5: Solve for x
    x = 1,901,775,893.40/49,947
  6. Step 6: Final answer
    x = 38,075.88

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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.