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Finding the Fourth Proportional to 85,270.26, 127,905.30 and 22,940.76

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Solution

The fourth proportional to 85,270.26, 127,905.30 and 22,940.76 is: 34,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,270.26 : 127,905.30 = 22,940.76 : x
  2. Step 2: Convert to fraction form
    85,270.26/127,905.30 = 22,940.76/x
  3. Step 3: Cross multiply
    85,270.26x = 127,905.30 × 22,940.76
  4. Step 4: Simplify right side
    85,270.26x = 2,934,244,790.03
  5. Step 5: Solve for x
    x = 2,934,244,790.03/85,270.26
  6. Step 6: Final answer
    x = 34,411.12

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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.