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Finding the Fourth Proportional to 34,361.80, 51,533.10 and 12,169.22

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Solution

The fourth proportional to 34,361.80, 51,533.10 and 12,169.22 is: 18,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,361.80 : 51,533.10 = 12,169.22 : x
  2. Step 2: Convert to fraction form
    34,361.80/51,533.10 = 12,169.22/x
  3. Step 3: Cross multiply
    34,361.80x = 51,533.10 × 12,169.22
  4. Step 4: Simplify right side
    34,361.80x = 627,117,373.52
  5. Step 5: Solve for x
    x = 627,117,373.52/34,361.80
  6. Step 6: Final answer
    x = 18,250.42

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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.