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Finding the Fourth Proportional to 27,302.50, 40,958.56 and 11,291.99

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Solution

The fourth proportional to 27,302.50, 40,958.56 and 11,291.99 is: 16,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.50 : 40,958.56 = 11,291.99 : x
  2. Step 2: Convert to fraction form
    27,302.50/40,958.56 = 11,291.99/x
  3. Step 3: Cross multiply
    27,302.50x = 40,958.56 × 11,291.99
  4. Step 4: Simplify right side
    27,302.50x = 462,503,798.20
  5. Step 5: Solve for x
    x = 462,503,798.20/27,302.50
  6. Step 6: Final answer
    x = 16,939.98

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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.