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Finding the Fourth Proportional to 107,919.44, 161,898.64 and 48,782.96

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Solution

The fourth proportional to 107,919.44, 161,898.64 and 48,782.96 is: 73,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,919.44 : 161,898.64 = 48,782.96 : x
  2. Step 2: Convert to fraction form
    107,919.44/161,898.64 = 48,782.96/x
  3. Step 3: Cross multiply
    107,919.44x = 161,898.64 × 48,782.96
  4. Step 4: Simplify right side
    107,919.44x = 7,897,894,879.17
  5. Step 5: Solve for x
    x = 7,897,894,879.17/107,919.44
  6. Step 6: Final answer
    x = 73,183.25

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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.