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Finding the Fourth Proportional to 41,510.84, 57,286.68 and 23,609

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Solution

The fourth proportional to 41,510.84, 57,286.68 and 23,609 is: 32,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,510.84 : 57,286.68 = 23,609 : x
  2. Step 2: Convert to fraction form
    41,510.84/57,286.68 = 23,609/x
  3. Step 3: Cross multiply
    41,510.84x = 57,286.68 × 23,609
  4. Step 4: Simplify right side
    41,510.84x = 1,352,481,228.12
  5. Step 5: Solve for x
    x = 1,352,481,228.12/41,510.84
  6. Step 6: Final answer
    x = 32,581.40

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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.