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Finding the Fourth Proportional to 82,729.30, 114,163.14 and 45,003.55

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Solution

The fourth proportional to 82,729.30, 114,163.14 and 45,003.55 is: 62,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,729.30 : 114,163.14 = 45,003.55 : x
  2. Step 2: Convert to fraction form
    82,729.30/114,163.14 = 45,003.55/x
  3. Step 3: Cross multiply
    82,729.30x = 114,163.14 × 45,003.55
  4. Step 4: Simplify right side
    82,729.30x = 5,137,746,579.15
  5. Step 5: Solve for x
    x = 5,137,746,579.15/82,729.30
  6. Step 6: Final answer
    x = 62,103.11

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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.