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Finding the Fourth Proportional to 41,513.84, 57,290.82 and 23,612

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Solution

The fourth proportional to 41,513.84, 57,290.82 and 23,612 is: 32,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,513.84 : 57,290.82 = 23,612 : x
  2. Step 2: Convert to fraction form
    41,513.84/57,290.82 = 23,612/x
  3. Step 3: Cross multiply
    41,513.84x = 57,290.82 × 23,612
  4. Step 4: Simplify right side
    41,513.84x = 1,352,750,841.84
  5. Step 5: Solve for x
    x = 1,352,750,841.84/41,513.84
  6. Step 6: Final answer
    x = 32,585.54

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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.