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Finding the Fourth Proportional to 42,425, 58,546.52 and 23,562.28

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Solution

The fourth proportional to 42,425, 58,546.52 and 23,562.28 is: 32,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,425 : 58,546.52 = 23,562.28 : x
  2. Step 2: Convert to fraction form
    42,425/58,546.52 = 23,562.28/x
  3. Step 3: Cross multiply
    42,425x = 58,546.52 × 23,562.28
  4. Step 4: Simplify right side
    42,425x = 1,379,489,497.27
  5. Step 5: Solve for x
    x = 1,379,489,497.27/42,425
  6. Step 6: Final answer
    x = 32,515.96

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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.