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Finding the Fourth Proportional to 82,765, 124,166.94 and 27,361

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Solution

The fourth proportional to 82,765, 124,166.94 and 27,361 is: 41,047.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765 : 124,166.94 = 27,361 : x
  2. Step 2: Convert to fraction form
    82,765/124,166.94 = 27,361/x
  3. Step 3: Cross multiply
    82,765x = 124,166.94 × 27,361
  4. Step 4: Simplify right side
    82,765x = 3,397,331,645.34
  5. Step 5: Solve for x
    x = 3,397,331,645.34/82,765
  6. Step 6: Final answer
    x = 41,047.93

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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.