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Finding the Fourth Proportional to 82,761, 124,160.94 and 27,357

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Solution

The fourth proportional to 82,761, 124,160.94 and 27,357 is: 41,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,761 : 124,160.94 = 27,357 : x
  2. Step 2: Convert to fraction form
    82,761/124,160.94 = 27,357/x
  3. Step 3: Cross multiply
    82,761x = 124,160.94 × 27,357
  4. Step 4: Simplify right side
    82,761x = 3,396,670,835.58
  5. Step 5: Solve for x
    x = 3,396,670,835.58/82,761
  6. Step 6: Final answer
    x = 41,041.93

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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.