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Finding the Fourth Proportional to 42,850.74, 64,300.71 and 33,464.42

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Solution

The fourth proportional to 42,850.74, 64,300.71 and 33,464.42 is: 50,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,850.74 : 64,300.71 = 33,464.42 : x
  2. Step 2: Convert to fraction form
    42,850.74/64,300.71 = 33,464.42/x
  3. Step 3: Cross multiply
    42,850.74x = 64,300.71 × 33,464.42
  4. Step 4: Simplify right side
    42,850.74x = 2,151,785,644.23
  5. Step 5: Solve for x
    x = 2,151,785,644.23/42,850.74
  6. Step 6: Final answer
    x = 50,215.83

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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.