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Finding the Fourth Proportional to 82,866.25, 124,299.38 and 27,462.25

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Solution

The fourth proportional to 82,866.25, 124,299.38 and 27,462.25 is: 41,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.25 : 124,299.38 = 27,462.25 : x
  2. Step 2: Convert to fraction form
    82,866.25/124,299.38 = 27,462.25/x
  3. Step 3: Cross multiply
    82,866.25x = 124,299.38 × 27,462.25
  4. Step 4: Simplify right side
    82,866.25x = 3,413,540,648.41
  5. Step 5: Solve for x
    x = 3,413,540,648.41/82,866.25
  6. Step 6: Final answer
    x = 41,193.38

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1.5x scale

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.