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Finding the Fourth Proportional to 42,761.36, 64,098.30 and 21,662.30

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Solution

The fourth proportional to 42,761.36, 64,098.30 and 21,662.30 is: 32,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,761.36 : 64,098.30 = 21,662.30 : x
  2. Step 2: Convert to fraction form
    42,761.36/64,098.30 = 21,662.30/x
  3. Step 3: Cross multiply
    42,761.36x = 64,098.30 × 21,662.30
  4. Step 4: Simplify right side
    42,761.36x = 1,388,516,604.09
  5. Step 5: Solve for x
    x = 1,388,516,604.09/42,761.36
  6. Step 6: Final answer
    x = 32,471.29

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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.