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Finding the Fourth Proportional to 82,532.43, 114,477.44 and 80,344.91

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Solution

The fourth proportional to 82,532.43, 114,477.44 and 80,344.91 is: 111,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.43 : 114,477.44 = 80,344.91 : x
  2. Step 2: Convert to fraction form
    82,532.43/114,477.44 = 80,344.91/x
  3. Step 3: Cross multiply
    82,532.43x = 114,477.44 × 80,344.91
  4. Step 4: Simplify right side
    82,532.43x = 9,197,679,041.44
  5. Step 5: Solve for x
    x = 9,197,679,041.44/82,532.43
  6. Step 6: Final answer
    x = 111,443.21

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.