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Finding the Fourth Proportional to 34,691.68, 47,874.60 and 18,776.30

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Solution

The fourth proportional to 34,691.68, 47,874.60 and 18,776.30 is: 25,911.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691.68 : 47,874.60 = 18,776.30 : x
  2. Step 2: Convert to fraction form
    34,691.68/47,874.60 = 18,776.30/x
  3. Step 3: Cross multiply
    34,691.68x = 47,874.60 × 18,776.30
  4. Step 4: Simplify right side
    34,691.68x = 898,907,851.98
  5. Step 5: Solve for x
    x = 898,907,851.98/34,691.68
  6. Step 6: Final answer
    x = 25,911.34

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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.