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Finding the Fourth Proportional to 42,081.75, 58,074.03 and 23,220.09

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Solution

The fourth proportional to 42,081.75, 58,074.03 and 23,220.09 is: 32,044.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,081.75 : 58,074.03 = 23,220.09 : x
  2. Step 2: Convert to fraction form
    42,081.75/58,074.03 = 23,220.09/x
  3. Step 3: Cross multiply
    42,081.75x = 58,074.03 × 23,220.09
  4. Step 4: Simplify right side
    42,081.75x = 1,348,484,203.26
  5. Step 5: Solve for x
    x = 1,348,484,203.26/42,081.75
  6. Step 6: Final answer
    x = 32,044.39

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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.