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Finding the Fourth Proportional to 57,588, 86,382 and 24,756

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Solution

The fourth proportional to 57,588, 86,382 and 24,756 is: 37,134

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,588 : 86,382 = 24,756 : x
  2. Step 2: Convert to fraction form
    57,588/86,382 = 24,756/x
  3. Step 3: Cross multiply
    57,588x = 86,382 × 24,756
  4. Step 4: Simplify right side
    57,588x = 2,138,472,792
  5. Step 5: Solve for x
    x = 2,138,472,792/57,588
  6. Step 6: Final answer
    x = 37,134

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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.