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Finding the Fourth Proportional to 41,176, 61,764.54 and 13,474

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Solution

The fourth proportional to 41,176, 61,764.54 and 13,474 is: 20,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,176 : 61,764.54 = 13,474 : x
  2. Step 2: Convert to fraction form
    41,176/61,764.54 = 13,474/x
  3. Step 3: Cross multiply
    41,176x = 61,764.54 × 13,474
  4. Step 4: Simplify right side
    41,176x = 832,215,411.96
  5. Step 5: Solve for x
    x = 832,215,411.96/41,176
  6. Step 6: Final answer
    x = 20,211.18

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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.