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Finding the Fourth Proportional to 82,163.84, 113,455.25 and 52,002.38

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Solution

The fourth proportional to 82,163.84, 113,455.25 and 52,002.38 is: 71,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.84 : 113,455.25 = 52,002.38 : x
  2. Step 2: Convert to fraction form
    82,163.84/113,455.25 = 52,002.38/x
  3. Step 3: Cross multiply
    82,163.84x = 113,455.25 × 52,002.38
  4. Step 4: Simplify right side
    82,163.84x = 5,899,943,023.50
  5. Step 5: Solve for x
    x = 5,899,943,023.50/82,163.84
  6. Step 6: Final answer
    x = 71,807.05

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Why These Related Problems?

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