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Finding the Fourth Proportional to 82,811.97, 114,280.47 and 45,086.22

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Solution

The fourth proportional to 82,811.97, 114,280.47 and 45,086.22 is: 62,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,811.97 : 114,280.47 = 45,086.22 : x
  2. Step 2: Convert to fraction form
    82,811.97/114,280.47 = 45,086.22/x
  3. Step 3: Cross multiply
    82,811.97x = 114,280.47 × 45,086.22
  4. Step 4: Simplify right side
    82,811.97x = 5,152,474,412.12
  5. Step 5: Solve for x
    x = 5,152,474,412.12/82,811.97
  6. Step 6: Final answer
    x = 62,218.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.