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Finding the Fourth Proportional to 109,947.80, 164,900.10 and 36,075.80

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Solution

The fourth proportional to 109,947.80, 164,900.10 and 36,075.80 is: 54,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,947.80 : 164,900.10 = 36,075.80 : x
  2. Step 2: Convert to fraction form
    109,947.80/164,900.10 = 36,075.80/x
  3. Step 3: Cross multiply
    109,947.80x = 164,900.10 × 36,075.80
  4. Step 4: Simplify right side
    109,947.80x = 5,948,903,027.58
  5. Step 5: Solve for x
    x = 5,948,903,027.58/109,947.80
  6. Step 6: Final answer
    x = 54,106.61

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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.