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Finding the Fourth Proportional to 81,885.20, 122,821.32 and 29,289.20

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Solution

The fourth proportional to 81,885.20, 122,821.32 and 29,289.20 is: 43,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,885.20 : 122,821.32 = 29,289.20 : x
  2. Step 2: Convert to fraction form
    81,885.20/122,821.32 = 29,289.20/x
  3. Step 3: Cross multiply
    81,885.20x = 122,821.32 × 29,289.20
  4. Step 4: Simplify right side
    81,885.20x = 3,597,338,205.74
  5. Step 5: Solve for x
    x = 3,597,338,205.74/81,885.20
  6. Step 6: Final answer
    x = 43,931.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.