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Finding the Fourth Proportional to 27,311.50, 40,929.15 and 20,642.52

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Solution

The fourth proportional to 27,311.50, 40,929.15 and 20,642.52 is: 30,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,311.50 : 40,929.15 = 20,642.52 : x
  2. Step 2: Convert to fraction form
    27,311.50/40,929.15 = 20,642.52/x
  3. Step 3: Cross multiply
    27,311.50x = 40,929.15 × 20,642.52
  4. Step 4: Simplify right side
    27,311.50x = 844,880,797.46
  5. Step 5: Solve for x
    x = 844,880,797.46/27,311.50
  6. Step 6: Final answer
    x = 30,934.98

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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.