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Finding the Fourth Proportional to 34,851.70, 48,091.24 and 20,508.38

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Solution

The fourth proportional to 34,851.70, 48,091.24 and 20,508.38 is: 28,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,851.70 : 48,091.24 = 20,508.38 : x
  2. Step 2: Convert to fraction form
    34,851.70/48,091.24 = 20,508.38/x
  3. Step 3: Cross multiply
    34,851.70x = 48,091.24 × 20,508.38
  4. Step 4: Simplify right side
    34,851.70x = 986,273,132.86
  5. Step 5: Solve for x
    x = 986,273,132.86/34,851.70
  6. Step 6: Final answer
    x = 28,299.14

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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.