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Finding the Fourth Proportional to 85,096.62, 127,645.02 and 22,765.50

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Solution

The fourth proportional to 85,096.62, 127,645.02 and 22,765.50 is: 34,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,096.62 : 127,645.02 = 22,765.50 : x
  2. Step 2: Convert to fraction form
    85,096.62/127,645.02 = 22,765.50/x
  3. Step 3: Cross multiply
    85,096.62x = 127,645.02 × 22,765.50
  4. Step 4: Simplify right side
    85,096.62x = 2,905,902,702.81
  5. Step 5: Solve for x
    x = 2,905,902,702.81/85,096.62
  6. Step 6: Final answer
    x = 34,148.27

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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.