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Finding the Fourth Proportional to 107,374.92, 161,063.96 and 32,495.80

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Solution

The fourth proportional to 107,374.92, 161,063.96 and 32,495.80 is: 48,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,374.92 : 161,063.96 = 32,495.80 : x
  2. Step 2: Convert to fraction form
    107,374.92/161,063.96 = 32,495.80/x
  3. Step 3: Cross multiply
    107,374.92x = 161,063.96 × 32,495.80
  4. Step 4: Simplify right side
    107,374.92x = 5,233,902,231.37
  5. Step 5: Solve for x
    x = 5,233,902,231.37/107,374.92
  6. Step 6: Final answer
    x = 48,744.18

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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.