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Finding the Fourth Proportional to 82,866.75, 124,300.13 and 27,462.75

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Solution

The fourth proportional to 82,866.75, 124,300.13 and 27,462.75 is: 41,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.75 : 124,300.13 = 27,462.75 : x
  2. Step 2: Convert to fraction form
    82,866.75/124,300.13 = 27,462.75/x
  3. Step 3: Cross multiply
    82,866.75x = 124,300.13 × 27,462.75
  4. Step 4: Simplify right side
    82,866.75x = 3,413,623,257.84
  5. Step 5: Solve for x
    x = 3,413,623,257.84/82,866.75
  6. Step 6: Final answer
    x = 41,194.13

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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.