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Finding the Fourth Proportional to 82,728.28, 114,164.94 and 45,002.44

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Solution

The fourth proportional to 82,728.28, 114,164.94 and 45,002.44 is: 62,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,728.28 : 114,164.94 = 45,002.44 : x
  2. Step 2: Convert to fraction form
    82,728.28/114,164.94 = 45,002.44/x
  3. Step 3: Cross multiply
    82,728.28x = 114,164.94 × 45,002.44
  4. Step 4: Simplify right side
    82,728.28x = 5,137,700,862.45
  5. Step 5: Solve for x
    x = 5,137,700,862.45/82,728.28
  6. Step 6: Final answer
    x = 62,103.32

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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.