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Finding the Fourth Proportional to 37,075.50, 51,164.19 and 20,308.50

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Solution

The fourth proportional to 37,075.50, 51,164.19 and 20,308.50 is: 28,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,075.50 : 51,164.19 = 20,308.50 : x
  2. Step 2: Convert to fraction form
    37,075.50/51,164.19 = 20,308.50/x
  3. Step 3: Cross multiply
    37,075.50x = 51,164.19 × 20,308.50
  4. Step 4: Simplify right side
    37,075.50x = 1,039,067,952.62
  5. Step 5: Solve for x
    x = 1,039,067,952.62/37,075.50
  6. Step 6: Final answer
    x = 28,025.73

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