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Finding the Fourth Proportional to 107,634.52, 161,486.37 and 32,769.15

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Solution

The fourth proportional to 107,634.52, 161,486.37 and 32,769.15 is: 49,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,634.52 : 161,486.37 = 32,769.15 : x
  2. Step 2: Convert to fraction form
    107,634.52/161,486.37 = 32,769.15/x
  3. Step 3: Cross multiply
    107,634.52x = 161,486.37 × 32,769.15
  4. Step 4: Simplify right side
    107,634.52x = 5,291,771,403.28
  5. Step 5: Solve for x
    x = 5,291,771,403.28/107,634.52
  6. Step 6: Final answer
    x = 49,164.26

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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.