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Finding the Fourth Proportional to 42,400, 58,512 and 24,736

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Solution

The fourth proportional to 42,400, 58,512 and 24,736 is: 34,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,400 : 58,512 = 24,736 : x
  2. Step 2: Convert to fraction form
    42,400/58,512 = 24,736/x
  3. Step 3: Cross multiply
    42,400x = 58,512 × 24,736
  4. Step 4: Simplify right side
    42,400x = 1,447,352,832
  5. Step 5: Solve for x
    x = 1,447,352,832/42,400
  6. Step 6: Final answer
    x = 34,135.68

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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.