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Finding the Fourth Proportional to 81,398.40, 122,000.40 and 34,013.40

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Solution

The fourth proportional to 81,398.40, 122,000.40 and 34,013.40 is: 50,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,398.40 : 122,000.40 = 34,013.40 : x
  2. Step 2: Convert to fraction form
    81,398.40/122,000.40 = 34,013.40/x
  3. Step 3: Cross multiply
    81,398.40x = 122,000.40 × 34,013.40
  4. Step 4: Simplify right side
    81,398.40x = 4,149,648,405.36
  5. Step 5: Solve for x
    x = 4,149,648,405.36/81,398.40
  6. Step 6: Final answer
    x = 50,979.48

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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.