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Finding the Fourth Proportional to 110,716.80, 166,075.12 and 36,844.80

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Solution

The fourth proportional to 110,716.80, 166,075.12 and 36,844.80 is: 55,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,716.80 : 166,075.12 = 36,844.80 : x
  2. Step 2: Convert to fraction form
    110,716.80/166,075.12 = 36,844.80/x
  3. Step 3: Cross multiply
    110,716.80x = 166,075.12 × 36,844.80
  4. Step 4: Simplify right side
    110,716.80x = 6,119,004,581.38
  5. Step 5: Solve for x
    x = 6,119,004,581.38/110,716.80
  6. Step 6: Final answer
    x = 55,267.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.