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Finding the Fourth Proportional to 107,782.85, 161,674.29 and 32,903.39

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Solution

The fourth proportional to 107,782.85, 161,674.29 and 32,903.39 is: 49,355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,782.85 : 161,674.29 = 32,903.39 : x
  2. Step 2: Convert to fraction form
    107,782.85/161,674.29 = 32,903.39/x
  3. Step 3: Cross multiply
    107,782.85x = 161,674.29 × 32,903.39
  4. Step 4: Simplify right side
    107,782.85x = 5,319,632,621.03
  5. Step 5: Solve for x
    x = 5,319,632,621.03/107,782.85
  6. Step 6: Final answer
    x = 49,355.09

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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.