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Finding the Fourth Proportional to 73,205.40, 109,775.70 and 33,742.20

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Solution

The fourth proportional to 73,205.40, 109,775.70 and 33,742.20 is: 50,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.40 : 109,775.70 = 33,742.20 : x
  2. Step 2: Convert to fraction form
    73,205.40/109,775.70 = 33,742.20/x
  3. Step 3: Cross multiply
    73,205.40x = 109,775.70 × 33,742.20
  4. Step 4: Simplify right side
    73,205.40x = 3,704,073,624.54
  5. Step 5: Solve for x
    x = 3,704,073,624.54/73,205.40
  6. Step 6: Final answer
    x = 50,598.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.