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Finding the Fourth Proportional to 82,674.45, 114,090.28 and 45,880.31

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Solution

The fourth proportional to 82,674.45, 114,090.28 and 45,880.31 is: 63,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,674.45 : 114,090.28 = 45,880.31 : x
  2. Step 2: Convert to fraction form
    82,674.45/114,090.28 = 45,880.31/x
  3. Step 3: Cross multiply
    82,674.45x = 114,090.28 × 45,880.31
  4. Step 4: Simplify right side
    82,674.45x = 5,234,497,584.91
  5. Step 5: Solve for x
    x = 5,234,497,584.91/82,674.45
  6. Step 6: Final answer
    x = 63,314.57

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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.