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Finding the Fourth Proportional to 81,829.48, 122,760.54 and 29,246.44

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Solution

The fourth proportional to 81,829.48, 122,760.54 and 29,246.44 is: 43,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,829.48 : 122,760.54 = 29,246.44 : x
  2. Step 2: Convert to fraction form
    81,829.48/122,760.54 = 29,246.44/x
  3. Step 3: Cross multiply
    81,829.48x = 122,760.54 × 29,246.44
  4. Step 4: Simplify right side
    81,829.48x = 3,590,308,767.48
  5. Step 5: Solve for x
    x = 3,590,308,767.48/81,829.48
  6. Step 6: Final answer
    x = 43,875.49

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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.