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Finding the Fourth Proportional to 42,590.88, 58,777.20 and 23,728

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Solution

The fourth proportional to 42,590.88, 58,777.20 and 23,728 is: 32,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,590.88 : 58,777.20 = 23,728 : x
  2. Step 2: Convert to fraction form
    42,590.88/58,777.20 = 23,728/x
  3. Step 3: Cross multiply
    42,590.88x = 58,777.20 × 23,728
  4. Step 4: Simplify right side
    42,590.88x = 1,394,665,401.60
  5. Step 5: Solve for x
    x = 1,394,665,401.60/42,590.88
  6. Step 6: Final answer
    x = 32,745.63

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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.