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Finding the Fourth Proportional to 82,777, 124,202.04 and 27,373

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Solution

The fourth proportional to 82,777, 124,202.04 and 27,373 is: 41,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,777 : 124,202.04 = 27,373 : x
  2. Step 2: Convert to fraction form
    82,777/124,202.04 = 27,373/x
  3. Step 3: Cross multiply
    82,777x = 124,202.04 × 27,373
  4. Step 4: Simplify right side
    82,777x = 3,399,782,440.92
  5. Step 5: Solve for x
    x = 3,399,782,440.92/82,777
  6. Step 6: Final answer
    x = 41,071.58

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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.