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Finding the Fourth Proportional to 34,943.50, 48,223.11 and 20,039.50

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Solution

The fourth proportional to 34,943.50, 48,223.11 and 20,039.50 is: 27,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,943.50 : 48,223.11 = 20,039.50 : x
  2. Step 2: Convert to fraction form
    34,943.50/48,223.11 = 20,039.50/x
  3. Step 3: Cross multiply
    34,943.50x = 48,223.11 × 20,039.50
  4. Step 4: Simplify right side
    34,943.50x = 966,367,012.85
  5. Step 5: Solve for x
    x = 966,367,012.85/34,943.50
  6. Step 6: Final answer
    x = 27,655.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.