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Finding the Fourth Proportional to 107,641.44, 161,470.44 and 32,768.01

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Solution

The fourth proportional to 107,641.44, 161,470.44 and 32,768.01 is: 49,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,641.44 : 161,470.44 = 32,768.01 : x
  2. Step 2: Convert to fraction form
    107,641.44/161,470.44 = 32,768.01/x
  3. Step 3: Cross multiply
    107,641.44x = 161,470.44 × 32,768.01
  4. Step 4: Simplify right side
    107,641.44x = 5,291,064,992.62
  5. Step 5: Solve for x
    x = 5,291,064,992.62/107,641.44
  6. Step 6: Final answer
    x = 49,154.54

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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.