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Finding the Fourth Proportional to 82,863, 124,313.94 and 27,459

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Solution

The fourth proportional to 82,863, 124,313.94 and 27,459 is: 41,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,863 : 124,313.94 = 27,459 : x
  2. Step 2: Convert to fraction form
    82,863/124,313.94 = 27,459/x
  3. Step 3: Cross multiply
    82,863x = 124,313.94 × 27,459
  4. Step 4: Simplify right side
    82,863x = 3,413,536,478.46
  5. Step 5: Solve for x
    x = 3,413,536,478.46/82,863
  6. Step 6: Final answer
    x = 41,194.94

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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.