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Finding the Fourth Proportional to 58,984.96, 81,481.80 and 41,071

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Solution

The fourth proportional to 58,984.96, 81,481.80 and 41,071 is: 56,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,984.96 : 81,481.80 = 41,071 : x
  2. Step 2: Convert to fraction form
    58,984.96/81,481.80 = 41,071/x
  3. Step 3: Cross multiply
    58,984.96x = 81,481.80 × 41,071
  4. Step 4: Simplify right side
    58,984.96x = 3,346,539,007.80
  5. Step 5: Solve for x
    x = 3,346,539,007.80/58,984.96
  6. Step 6: Final answer
    x = 56,735.46

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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.