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Finding the Fourth Proportional to 107,771.92, 161,657.86 and 32,892.45

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Solution

The fourth proportional to 107,771.92, 161,657.86 and 32,892.45 is: 49,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,771.92 : 161,657.86 = 32,892.45 : x
  2. Step 2: Convert to fraction form
    107,771.92/161,657.86 = 32,892.45/x
  3. Step 3: Cross multiply
    107,771.92x = 161,657.86 × 32,892.45
  4. Step 4: Simplify right side
    107,771.92x = 5,317,323,077.16
  5. Step 5: Solve for x
    x = 5,317,323,077.16/107,771.92
  6. Step 6: Final answer
    x = 49,338.67

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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.