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Finding the Fourth Proportional to 85,111.50, 127,667.25 and 22,782

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Solution

The fourth proportional to 85,111.50, 127,667.25 and 22,782 is: 34,173

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,111.50 : 127,667.25 = 22,782 : x
  2. Step 2: Convert to fraction form
    85,111.50/127,667.25 = 22,782/x
  3. Step 3: Cross multiply
    85,111.50x = 127,667.25 × 22,782
  4. Step 4: Simplify right side
    85,111.50x = 2,908,515,289.50
  5. Step 5: Solve for x
    x = 2,908,515,289.50/85,111.50
  6. Step 6: Final answer
    x = 34,173

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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.