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Finding the Fourth Proportional to 42,858.64, 64,234.50 and 33,034.96

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Solution

The fourth proportional to 42,858.64, 64,234.50 and 33,034.96 is: 49,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,858.64 : 64,234.50 = 33,034.96 : x
  2. Step 2: Convert to fraction form
    42,858.64/64,234.50 = 33,034.96/x
  3. Step 3: Cross multiply
    42,858.64x = 64,234.50 × 33,034.96
  4. Step 4: Simplify right side
    42,858.64x = 2,121,984,138.12
  5. Step 5: Solve for x
    x = 2,121,984,138.12/42,858.64
  6. Step 6: Final answer
    x = 49,511.23

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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.