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Finding the Fourth Proportional to 35,759.84, 49,348.12 and 19,843.95

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Solution

The fourth proportional to 35,759.84, 49,348.12 and 19,843.95 is: 27,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,759.84 : 49,348.12 = 19,843.95 : x
  2. Step 2: Convert to fraction form
    35,759.84/49,348.12 = 19,843.95/x
  3. Step 3: Cross multiply
    35,759.84x = 49,348.12 × 19,843.95
  4. Step 4: Simplify right side
    35,759.84x = 979,261,526.65
  5. Step 5: Solve for x
    x = 979,261,526.65/35,759.84
  6. Step 6: Final answer
    x = 27,384.39

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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.