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Finding the Fourth Proportional to 81,411.30, 122,138.55 and 28,815.30

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Solution

The fourth proportional to 81,411.30, 122,138.55 and 28,815.30 is: 43,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,411.30 : 122,138.55 = 28,815.30 : x
  2. Step 2: Convert to fraction form
    81,411.30/122,138.55 = 28,815.30/x
  3. Step 3: Cross multiply
    81,411.30x = 122,138.55 × 28,815.30
  4. Step 4: Simplify right side
    81,411.30x = 3,519,458,959.82
  5. Step 5: Solve for x
    x = 3,519,458,959.82/81,411.30
  6. Step 6: Final answer
    x = 43,230.60

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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.