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Finding the Fourth Proportional to 36,135.48, 54,197.82 and 12,446.76

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Solution

The fourth proportional to 36,135.48, 54,197.82 and 12,446.76 is: 18,668.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,135.48 : 54,197.82 = 12,446.76 : x
  2. Step 2: Convert to fraction form
    36,135.48/54,197.82 = 12,446.76/x
  3. Step 3: Cross multiply
    36,135.48x = 54,197.82 × 12,446.76
  4. Step 4: Simplify right side
    36,135.48x = 674,587,258.06
  5. Step 5: Solve for x
    x = 674,587,258.06/36,135.48
  6. Step 6: Final answer
    x = 18,668.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.