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Finding the Fourth Proportional to 34,790.41, 52,180.94 and 9,832.41

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Solution

The fourth proportional to 34,790.41, 52,180.94 and 9,832.41 is: 14,747.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,790.41 : 52,180.94 = 9,832.41 : x
  2. Step 2: Convert to fraction form
    34,790.41/52,180.94 = 9,832.41/x
  3. Step 3: Cross multiply
    34,790.41x = 52,180.94 × 9,832.41
  4. Step 4: Simplify right side
    34,790.41x = 513,064,420.85
  5. Step 5: Solve for x
    x = 513,064,420.85/34,790.41
  6. Step 6: Final answer
    x = 14,747.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.