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Finding the Fourth Proportional to 81,861.84, 122,787.75 and 48,146.50

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Solution

The fourth proportional to 81,861.84, 122,787.75 and 48,146.50 is: 72,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.84 : 122,787.75 = 48,146.50 : x
  2. Step 2: Convert to fraction form
    81,861.84/122,787.75 = 48,146.50/x
  3. Step 3: Cross multiply
    81,861.84x = 122,787.75 × 48,146.50
  4. Step 4: Simplify right side
    81,861.84x = 5,911,800,405.38
  5. Step 5: Solve for x
    x = 5,911,800,405.38/81,861.84
  6. Step 6: Final answer
    x = 72,216.80

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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.