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Finding the Fourth Proportional to 109,377.64, 164,075.73 and 30,491.94

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Solution

The fourth proportional to 109,377.64, 164,075.73 and 30,491.94 is: 45,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,377.64 : 164,075.73 = 30,491.94 : x
  2. Step 2: Convert to fraction form
    109,377.64/164,075.73 = 30,491.94/x
  3. Step 3: Cross multiply
    109,377.64x = 164,075.73 × 30,491.94
  4. Step 4: Simplify right side
    109,377.64x = 5,002,987,815.56
  5. Step 5: Solve for x
    x = 5,002,987,815.56/109,377.64
  6. Step 6: Final answer
    x = 45,740.50

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