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Finding the Fourth Proportional to 82,446.40, 123,679.46 and 29,127.34

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Solution

The fourth proportional to 82,446.40, 123,679.46 and 29,127.34 is: 43,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446.40 : 123,679.46 = 29,127.34 : x
  2. Step 2: Convert to fraction form
    82,446.40/123,679.46 = 29,127.34/x
  3. Step 3: Cross multiply
    82,446.40x = 123,679.46 × 29,127.34
  4. Step 4: Simplify right side
    82,446.40x = 3,602,453,682.44
  5. Step 5: Solve for x
    x = 3,602,453,682.44/82,446.40
  6. Step 6: Final answer
    x = 43,694.49

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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.