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Finding the Fourth Proportional to 35,563.38, 49,075.68 and 19,644.76

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Solution

The fourth proportional to 35,563.38, 49,075.68 and 19,644.76 is: 27,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,563.38 : 49,075.68 = 19,644.76 : x
  2. Step 2: Convert to fraction form
    35,563.38/49,075.68 = 19,644.76/x
  3. Step 3: Cross multiply
    35,563.38x = 49,075.68 × 19,644.76
  4. Step 4: Simplify right side
    35,563.38x = 964,079,955.44
  5. Step 5: Solve for x
    x = 964,079,955.44/35,563.38
  6. Step 6: Final answer
    x = 27,108.78

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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.