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Finding the Fourth Proportional to 58,083.25, 80,142.53 and 34,201.21

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Solution

The fourth proportional to 58,083.25, 80,142.53 and 34,201.21 is: 47,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,083.25 : 80,142.53 = 34,201.21 : x
  2. Step 2: Convert to fraction form
    58,083.25/80,142.53 = 34,201.21/x
  3. Step 3: Cross multiply
    58,083.25x = 80,142.53 × 34,201.21
  4. Step 4: Simplify right side
    58,083.25x = 2,740,971,327.46
  5. Step 5: Solve for x
    x = 2,740,971,327.46/58,083.25
  6. Step 6: Final answer
    x = 47,190.39

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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.