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Finding the Fourth Proportional to 110,947, 166,420.50 and 37,075

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Solution

The fourth proportional to 110,947, 166,420.50 and 37,075 is: 55,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,947 : 166,420.50 = 37,075 : x
  2. Step 2: Convert to fraction form
    110,947/166,420.50 = 37,075/x
  3. Step 3: Cross multiply
    110,947x = 166,420.50 × 37,075
  4. Step 4: Simplify right side
    110,947x = 6,170,040,037.50
  5. Step 5: Solve for x
    x = 6,170,040,037.50/110,947
  6. Step 6: Final answer
    x = 55,612.50

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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.