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Finding the Fourth Proportional to 34,943, 48,222.42 and 20,039

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Solution

The fourth proportional to 34,943, 48,222.42 and 20,039 is: 27,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,943 : 48,222.42 = 20,039 : x
  2. Step 2: Convert to fraction form
    34,943/48,222.42 = 20,039/x
  3. Step 3: Cross multiply
    34,943x = 48,222.42 × 20,039
  4. Step 4: Simplify right side
    34,943x = 966,329,074.38
  5. Step 5: Solve for x
    x = 966,329,074.38/34,943
  6. Step 6: Final answer
    x = 27,654.44

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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.