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Finding the Fourth Proportional to 27,035.70, 40,541.20 and 8,309.22

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Solution

The fourth proportional to 27,035.70, 40,541.20 and 8,309.22 is: 12,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,035.70 : 40,541.20 = 8,309.22 : x
  2. Step 2: Convert to fraction form
    27,035.70/40,541.20 = 8,309.22/x
  3. Step 3: Cross multiply
    27,035.70x = 40,541.20 × 8,309.22
  4. Step 4: Simplify right side
    27,035.70x = 336,865,749.86
  5. Step 5: Solve for x
    x = 336,865,749.86/27,035.70
  6. Step 6: Final answer
    x = 12,460.03

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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.