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Finding the Fourth Proportional to 85,043.82, 127,565.74 and 25,896.41

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Solution

The fourth proportional to 85,043.82, 127,565.74 and 25,896.41 is: 38,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,043.82 : 127,565.74 = 25,896.41 : x
  2. Step 2: Convert to fraction form
    85,043.82/127,565.74 = 25,896.41/x
  3. Step 3: Cross multiply
    85,043.82x = 127,565.74 × 25,896.41
  4. Step 4: Simplify right side
    85,043.82x = 3,303,494,385.48
  5. Step 5: Solve for x
    x = 3,303,494,385.48/85,043.82
  6. Step 6: Final answer
    x = 38,844.61

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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.