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Finding the Fourth Proportional to 81,490.76, 122,141.54 and 30,857.59

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Solution

The fourth proportional to 81,490.76, 122,141.54 and 30,857.59 is: 46,250.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,490.76 : 122,141.54 = 30,857.59 : x
  2. Step 2: Convert to fraction form
    81,490.76/122,141.54 = 30,857.59/x
  3. Step 3: Cross multiply
    81,490.76x = 122,141.54 × 30,857.59
  4. Step 4: Simplify right side
    81,490.76x = 3,768,993,563.29
  5. Step 5: Solve for x
    x = 3,768,993,563.29/81,490.76
  6. Step 6: Final answer
    x = 46,250.56

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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.