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Finding the Fourth Proportional to 35,770.78, 53,644.02 and 12,391.76

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Solution

The fourth proportional to 35,770.78, 53,644.02 and 12,391.76 is: 18,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.78 : 53,644.02 = 12,391.76 : x
  2. Step 2: Convert to fraction form
    35,770.78/53,644.02 = 12,391.76/x
  3. Step 3: Cross multiply
    35,770.78x = 53,644.02 × 12,391.76
  4. Step 4: Simplify right side
    35,770.78x = 664,743,821.28
  5. Step 5: Solve for x
    x = 664,743,821.28/35,770.78
  6. Step 6: Final answer
    x = 18,583.43

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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.