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Finding the Fourth Proportional to 107,769.49, 161,654.54 and 37,648.80

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Solution

The fourth proportional to 107,769.49, 161,654.54 and 37,648.80 is: 56,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,769.49 : 161,654.54 = 37,648.80 : x
  2. Step 2: Convert to fraction form
    107,769.49/161,654.54 = 37,648.80/x
  3. Step 3: Cross multiply
    107,769.49x = 161,654.54 × 37,648.80
  4. Step 4: Simplify right side
    107,769.49x = 6,086,099,257.31
  5. Step 5: Solve for x
    x = 6,086,099,257.31/107,769.49
  6. Step 6: Final answer
    x = 56,473.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.