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Finding the Fourth Proportional to 42,205.72, 58,242.90 and 23,342.44

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Solution

The fourth proportional to 42,205.72, 58,242.90 and 23,342.44 is: 32,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,205.72 : 58,242.90 = 23,342.44 : x
  2. Step 2: Convert to fraction form
    42,205.72/58,242.90 = 23,342.44/x
  3. Step 3: Cross multiply
    42,205.72x = 58,242.90 × 23,342.44
  4. Step 4: Simplify right side
    42,205.72x = 1,359,531,398.68
  5. Step 5: Solve for x
    x = 1,359,531,398.68/42,205.72
  6. Step 6: Final answer
    x = 32,212.02

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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.