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Finding the Fourth Proportional to 103,635, 143,022.78 and 58,923

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Solution

The fourth proportional to 103,635, 143,022.78 and 58,923 is: 81,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 143,022.78 = 58,923 : x
  2. Step 2: Convert to fraction form
    103,635/143,022.78 = 58,923/x
  3. Step 3: Cross multiply
    103,635x = 143,022.78 × 58,923
  4. Step 4: Simplify right side
    103,635x = 8,427,331,265.94
  5. Step 5: Solve for x
    x = 8,427,331,265.94/103,635
  6. Step 6: Final answer
    x = 81,317.42

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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.