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Finding the Fourth Proportional to 106,784.20, 160,179.50 and 36,662.44

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Solution

The fourth proportional to 106,784.20, 160,179.50 and 36,662.44 is: 54,994.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,784.20 : 160,179.50 = 36,662.44 : x
  2. Step 2: Convert to fraction form
    106,784.20/160,179.50 = 36,662.44/x
  3. Step 3: Cross multiply
    106,784.20x = 160,179.50 × 36,662.44
  4. Step 4: Simplify right side
    106,784.20x = 5,872,571,307.98
  5. Step 5: Solve for x
    x = 5,872,571,307.98/106,784.20
  6. Step 6: Final answer
    x = 54,994.76

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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.