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Finding the Fourth Proportional to 42,085.92, 58,076.82 and 23,222.64

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Solution

The fourth proportional to 42,085.92, 58,076.82 and 23,222.64 is: 32,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,085.92 : 58,076.82 = 23,222.64 : x
  2. Step 2: Convert to fraction form
    42,085.92/58,076.82 = 23,222.64/x
  3. Step 3: Cross multiply
    42,085.92x = 58,076.82 × 23,222.64
  4. Step 4: Simplify right side
    42,085.92x = 1,348,697,083.20
  5. Step 5: Solve for x
    x = 1,348,697,083.20/42,085.92
  6. Step 6: Final answer
    x = 32,046.28

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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.