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Finding the Fourth Proportional to 81,905.34, 122,857.91 and 25,750.36

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Solution

The fourth proportional to 81,905.34, 122,857.91 and 25,750.36 is: 38,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,905.34 : 122,857.91 = 25,750.36 : x
  2. Step 2: Convert to fraction form
    81,905.34/122,857.91 = 25,750.36/x
  3. Step 3: Cross multiply
    81,905.34x = 122,857.91 × 25,750.36
  4. Step 4: Simplify right side
    81,905.34x = 3,163,634,986.50
  5. Step 5: Solve for x
    x = 3,163,634,986.50/81,905.34
  6. Step 6: Final answer
    x = 38,625.50

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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.