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Finding the Fourth Proportional to 59,905.81, 82,670.64 and 33,049.31

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Solution

The fourth proportional to 59,905.81, 82,670.64 and 33,049.31 is: 45,608.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,905.81 : 82,670.64 = 33,049.31 : x
  2. Step 2: Convert to fraction form
    59,905.81/82,670.64 = 33,049.31/x
  3. Step 3: Cross multiply
    59,905.81x = 82,670.64 × 33,049.31
  4. Step 4: Simplify right side
    59,905.81x = 2,732,207,609.26
  5. Step 5: Solve for x
    x = 2,732,207,609.26/59,905.81
  6. Step 6: Final answer
    x = 45,608.39

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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.