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Finding the Fourth Proportional to 34,938, 48,215.88 and 20,034

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Solution

The fourth proportional to 34,938, 48,215.88 and 20,034 is: 27,647.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938 : 48,215.88 = 20,034 : x
  2. Step 2: Convert to fraction form
    34,938/48,215.88 = 20,034/x
  3. Step 3: Cross multiply
    34,938x = 48,215.88 × 20,034
  4. Step 4: Simplify right side
    34,938x = 965,956,939.92
  5. Step 5: Solve for x
    x = 965,956,939.92/34,938
  6. Step 6: Final answer
    x = 27,647.75

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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.