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Finding the Fourth Proportional to 102,604.94, 153,922.81 and 36,033.38

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Solution

The fourth proportional to 102,604.94, 153,922.81 and 36,033.38 is: 54,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604.94 : 153,922.81 = 36,033.38 : x
  2. Step 2: Convert to fraction form
    102,604.94/153,922.81 = 36,033.38/x
  3. Step 3: Cross multiply
    102,604.94x = 153,922.81 × 36,033.38
  4. Step 4: Simplify right side
    102,604.94x = 5,546,359,103.40
  5. Step 5: Solve for x
    x = 5,546,359,103.40/102,604.94
  6. Step 6: Final answer
    x = 54,055.48

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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.