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Finding the Fourth Proportional to 71,027.73, 106,466.70 and 23,630.16

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Solution

The fourth proportional to 71,027.73, 106,466.70 and 23,630.16 is: 35,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,027.73 : 106,466.70 = 23,630.16 : x
  2. Step 2: Convert to fraction form
    71,027.73/106,466.70 = 23,630.16/x
  3. Step 3: Cross multiply
    71,027.73x = 106,466.70 × 23,630.16
  4. Step 4: Simplify right side
    71,027.73x = 2,515,825,155.67
  5. Step 5: Solve for x
    x = 2,515,825,155.67/71,027.73
  6. Step 6: Final answer
    x = 35,420.32

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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.