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Finding the Fourth Proportional to 34,737, 47,936.78 and 18,821.40

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Solution

The fourth proportional to 34,737, 47,936.78 and 18,821.40 is: 25,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,737 : 47,936.78 = 18,821.40 : x
  2. Step 2: Convert to fraction form
    34,737/47,936.78 = 18,821.40/x
  3. Step 3: Cross multiply
    34,737x = 47,936.78 × 18,821.40
  4. Step 4: Simplify right side
    34,737x = 902,237,311.09
  5. Step 5: Solve for x
    x = 902,237,311.09/34,737
  6. Step 6: Final answer
    x = 25,973.38

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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.