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Finding the Fourth Proportional to 102,107.25, 153,161.01 and 49,524.48

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Solution

The fourth proportional to 102,107.25, 153,161.01 and 49,524.48 is: 74,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.25 : 153,161.01 = 49,524.48 : x
  2. Step 2: Convert to fraction form
    102,107.25/153,161.01 = 49,524.48/x
  3. Step 3: Cross multiply
    102,107.25x = 153,161.01 × 49,524.48
  4. Step 4: Simplify right side
    102,107.25x = 7,585,219,376.52
  5. Step 5: Solve for x
    x = 7,585,219,376.52/102,107.25
  6. Step 6: Final answer
    x = 74,286.79

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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.