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Finding the Fourth Proportional to 27,270.70, 40,906.05 and 9,742.30

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Solution

The fourth proportional to 27,270.70, 40,906.05 and 9,742.30 is: 14,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.70 : 40,906.05 = 9,742.30 : x
  2. Step 2: Convert to fraction form
    27,270.70/40,906.05 = 9,742.30/x
  3. Step 3: Cross multiply
    27,270.70x = 40,906.05 × 9,742.30
  4. Step 4: Simplify right side
    27,270.70x = 398,519,010.92
  5. Step 5: Solve for x
    x = 398,519,010.92/27,270.70
  6. Step 6: Final answer
    x = 14,613.45

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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.