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Finding the Fourth Proportional to 81,842.17, 122,768.45 and 25,684.50

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Solution

The fourth proportional to 81,842.17, 122,768.45 and 25,684.50 is: 38,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.17 : 122,768.45 = 25,684.50 : x
  2. Step 2: Convert to fraction form
    81,842.17/122,768.45 = 25,684.50/x
  3. Step 3: Cross multiply
    81,842.17x = 122,768.45 × 25,684.50
  4. Step 4: Simplify right side
    81,842.17x = 3,153,246,254.03
  5. Step 5: Solve for x
    x = 3,153,246,254.03/81,842.17
  6. Step 6: Final answer
    x = 38,528.38

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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.