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Finding the Fourth Proportional to 81,580.49, 122,376.63 and 34,147.88

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Solution

The fourth proportional to 81,580.49, 122,376.63 and 34,147.88 is: 51,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,580.49 : 122,376.63 = 34,147.88 : x
  2. Step 2: Convert to fraction form
    81,580.49/122,376.63 = 34,147.88/x
  3. Step 3: Cross multiply
    81,580.49x = 122,376.63 × 34,147.88
  4. Step 4: Simplify right side
    81,580.49x = 4,178,902,476.04
  5. Step 5: Solve for x
    x = 4,178,902,476.04/81,580.49
  6. Step 6: Final answer
    x = 51,224.29

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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.