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Finding the Fourth Proportional to 34,451.63, 47,546.90 and 21,876.38

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Solution

The fourth proportional to 34,451.63, 47,546.90 and 21,876.38 is: 30,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,451.63 : 47,546.90 = 21,876.38 : x
  2. Step 2: Convert to fraction form
    34,451.63/47,546.90 = 21,876.38/x
  3. Step 3: Cross multiply
    34,451.63x = 47,546.90 × 21,876.38
  4. Step 4: Simplify right side
    34,451.63x = 1,040,153,705.11
  5. Step 5: Solve for x
    x = 1,040,153,705.11/34,451.63
  6. Step 6: Final answer
    x = 30,191.72

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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.