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Finding the Fourth Proportional to 35,768.97, 53,663.02 and 12,395.41

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Solution

The fourth proportional to 35,768.97, 53,663.02 and 12,395.41 is: 18,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,768.97 : 53,663.02 = 12,395.41 : x
  2. Step 2: Convert to fraction form
    35,768.97/53,663.02 = 12,395.41/x
  3. Step 3: Cross multiply
    35,768.97x = 53,663.02 × 12,395.41
  4. Step 4: Simplify right side
    35,768.97x = 665,175,134.74
  5. Step 5: Solve for x
    x = 665,175,134.74/35,768.97
  6. Step 6: Final answer
    x = 18,596.43

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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.