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Finding the Fourth Proportional to 41,706.84, 57,555.51 and 22,586.82

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Solution

The fourth proportional to 41,706.84, 57,555.51 and 22,586.82 is: 31,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706.84 : 57,555.51 = 22,586.82 : x
  2. Step 2: Convert to fraction form
    41,706.84/57,555.51 = 22,586.82/x
  3. Step 3: Cross multiply
    41,706.84x = 57,555.51 × 22,586.82
  4. Step 4: Simplify right side
    41,706.84x = 1,299,995,944.38
  5. Step 5: Solve for x
    x = 1,299,995,944.38/41,706.84
  6. Step 6: Final answer
    x = 31,169.85

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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.