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Finding the Fourth Proportional to 97,453.73, 146,180.60 and 23,581.73

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Solution

The fourth proportional to 97,453.73, 146,180.60 and 23,581.73 is: 35,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,453.73 : 146,180.60 = 23,581.73 : x
  2. Step 2: Convert to fraction form
    97,453.73/146,180.60 = 23,581.73/x
  3. Step 3: Cross multiply
    97,453.73x = 146,180.60 × 23,581.73
  4. Step 4: Simplify right side
    97,453.73x = 3,447,191,440.44
  5. Step 5: Solve for x
    x = 3,447,191,440.44/97,453.73
  6. Step 6: Final answer
    x = 35,372.60

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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.