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Finding the Fourth Proportional to 82,850.70, 124,243.65 and 30,233.10

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Solution

The fourth proportional to 82,850.70, 124,243.65 and 30,233.10 is: 45,337.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,850.70 : 124,243.65 = 30,233.10 : x
  2. Step 2: Convert to fraction form
    82,850.70/124,243.65 = 30,233.10/x
  3. Step 3: Cross multiply
    82,850.70x = 124,243.65 × 30,233.10
  4. Step 4: Simplify right side
    82,850.70x = 3,756,270,694.82
  5. Step 5: Solve for x
    x = 3,756,270,694.82/82,850.70
  6. Step 6: Final answer
    x = 45,337.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.