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Finding the Fourth Proportional to 42,083.56, 58,072.44 and 23,221

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Solution

The fourth proportional to 42,083.56, 58,072.44 and 23,221 is: 32,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,083.56 : 58,072.44 = 23,221 : x
  2. Step 2: Convert to fraction form
    42,083.56/58,072.44 = 23,221/x
  3. Step 3: Cross multiply
    42,083.56x = 58,072.44 × 23,221
  4. Step 4: Simplify right side
    42,083.56x = 1,348,500,129.24
  5. Step 5: Solve for x
    x = 1,348,500,129.24/42,083.56
  6. Step 6: Final answer
    x = 32,043.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.