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Finding the Fourth Proportional to 105,813.32, 146,021.96 and 58,067.48

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Solution

The fourth proportional to 105,813.32, 146,021.96 and 58,067.48 is: 80,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,813.32 : 146,021.96 = 58,067.48 : x
  2. Step 2: Convert to fraction form
    105,813.32/146,021.96 = 58,067.48/x
  3. Step 3: Cross multiply
    105,813.32x = 146,021.96 × 58,067.48
  4. Step 4: Simplify right side
    105,813.32x = 8,479,127,241.86
  5. Step 5: Solve for x
    x = 8,479,127,241.86/105,813.32
  6. Step 6: Final answer
    x = 80,132.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.