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Finding the Fourth Proportional to 81,719.84, 122,316.78 and 55,278.92

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Solution

The fourth proportional to 81,719.84, 122,316.78 and 55,278.92 is: 82,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,719.84 : 122,316.78 = 55,278.92 : x
  2. Step 2: Convert to fraction form
    81,719.84/122,316.78 = 55,278.92/x
  3. Step 3: Cross multiply
    81,719.84x = 122,316.78 × 55,278.92
  4. Step 4: Simplify right side
    81,719.84x = 6,761,539,496.28
  5. Step 5: Solve for x
    x = 6,761,539,496.28/81,719.84
  6. Step 6: Final answer
    x = 82,740.49

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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.