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Finding the Fourth Proportional to 81,609.60, 122,414.40 and 29,078.40

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Solution

The fourth proportional to 81,609.60, 122,414.40 and 29,078.40 is: 43,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609.60 : 122,414.40 = 29,078.40 : x
  2. Step 2: Convert to fraction form
    81,609.60/122,414.40 = 29,078.40/x
  3. Step 3: Cross multiply
    81,609.60x = 122,414.40 × 29,078.40
  4. Step 4: Simplify right side
    81,609.60x = 3,559,614,888.96
  5. Step 5: Solve for x
    x = 3,559,614,888.96/81,609.60
  6. Step 6: Final answer
    x = 43,617.60

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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.