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Finding the Fourth Proportional to 42,072, 58,059.42 and 23,209.08

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Solution

The fourth proportional to 42,072, 58,059.42 and 23,209.08 is: 32,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,072 : 58,059.42 = 23,209.08 : x
  2. Step 2: Convert to fraction form
    42,072/58,059.42 = 23,209.08/x
  3. Step 3: Cross multiply
    42,072x = 58,059.42 × 23,209.08
  4. Step 4: Simplify right side
    42,072x = 1,347,505,723.53
  5. Step 5: Solve for x
    x = 1,347,505,723.53/42,072
  6. Step 6: Final answer
    x = 32,028.56

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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.