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Finding the Fourth Proportional to 107,735.17, 161,602.30 and 32,855.09

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Solution

The fourth proportional to 107,735.17, 161,602.30 and 32,855.09 is: 49,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,735.17 : 161,602.30 = 32,855.09 : x
  2. Step 2: Convert to fraction form
    107,735.17/161,602.30 = 32,855.09/x
  3. Step 3: Cross multiply
    107,735.17x = 161,602.30 × 32,855.09
  4. Step 4: Simplify right side
    107,735.17x = 5,309,458,110.71
  5. Step 5: Solve for x
    x = 5,309,458,110.71/107,735.17
  6. Step 6: Final answer
    x = 49,282.50

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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.