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Finding the Fourth Proportional to 37,075, 51,163.52 and 20,308.60

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Solution

The fourth proportional to 37,075, 51,163.52 and 20,308.60 is: 28,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,075 : 51,163.52 = 20,308.60 : x
  2. Step 2: Convert to fraction form
    37,075/51,163.52 = 20,308.60/x
  3. Step 3: Cross multiply
    37,075x = 51,163.52 × 20,308.60
  4. Step 4: Simplify right side
    37,075x = 1,039,059,462.27
  5. Step 5: Solve for x
    x = 1,039,059,462.27/37,075
  6. Step 6: Final answer
    x = 28,025.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.