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Finding the Fourth Proportional to 27,031.89, 40,551.73 and 8,313.50

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Solution

The fourth proportional to 27,031.89, 40,551.73 and 8,313.50 is: 12,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031.89 : 40,551.73 = 8,313.50 : x
  2. Step 2: Convert to fraction form
    27,031.89/40,551.73 = 8,313.50/x
  3. Step 3: Cross multiply
    27,031.89x = 40,551.73 × 8,313.50
  4. Step 4: Simplify right side
    27,031.89x = 337,126,961.80
  5. Step 5: Solve for x
    x = 337,126,961.80/27,031.89
  6. Step 6: Final answer
    x = 12,471.45

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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.