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Finding the Fourth Proportional to 82,763.56, 114,198.56 and 54,075.60

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Solution

The fourth proportional to 82,763.56, 114,198.56 and 54,075.60 is: 74,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763.56 : 114,198.56 = 54,075.60 : x
  2. Step 2: Convert to fraction form
    82,763.56/114,198.56 = 54,075.60/x
  3. Step 3: Cross multiply
    82,763.56x = 114,198.56 × 54,075.60
  4. Step 4: Simplify right side
    82,763.56x = 6,175,355,651.14
  5. Step 5: Solve for x
    x = 6,175,355,651.14/82,763.56
  6. Step 6: Final answer
    x = 74,614.43

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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.