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Finding the Fourth Proportional to 34,610.38, 47,762.34 and 18,694.83

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Solution

The fourth proportional to 34,610.38, 47,762.34 and 18,694.83 is: 25,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.38 : 47,762.34 = 18,694.83 : x
  2. Step 2: Convert to fraction form
    34,610.38/47,762.34 = 18,694.83/x
  3. Step 3: Cross multiply
    34,610.38x = 47,762.34 × 18,694.83
  4. Step 4: Simplify right side
    34,610.38x = 892,908,577.49
  5. Step 5: Solve for x
    x = 892,908,577.49/34,610.38
  6. Step 6: Final answer
    x = 25,798.87

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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.