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Finding the Fourth Proportional to 27,059.31, 40,581.90 and 8,079.48

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Solution

The fourth proportional to 27,059.31, 40,581.90 and 8,079.48 is: 12,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,059.31 : 40,581.90 = 8,079.48 : x
  2. Step 2: Convert to fraction form
    27,059.31/40,581.90 = 8,079.48/x
  3. Step 3: Cross multiply
    27,059.31x = 40,581.90 × 8,079.48
  4. Step 4: Simplify right side
    27,059.31x = 327,880,649.41
  5. Step 5: Solve for x
    x = 327,880,649.41/27,059.31
  6. Step 6: Final answer
    x = 12,117.11

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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.