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Finding the Fourth Proportional to 42,067.56, 58,051.14 and 23,204.20

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Solution

The fourth proportional to 42,067.56, 58,051.14 and 23,204.20 is: 32,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,067.56 : 58,051.14 = 23,204.20 : x
  2. Step 2: Convert to fraction form
    42,067.56/58,051.14 = 23,204.20/x
  3. Step 3: Cross multiply
    42,067.56x = 58,051.14 × 23,204.20
  4. Step 4: Simplify right side
    42,067.56x = 1,347,030,262.79
  5. Step 5: Solve for x
    x = 1,347,030,262.79/42,067.56
  6. Step 6: Final answer
    x = 32,020.64

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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.