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Finding the Fourth Proportional to 105,022.92, 157,554.88 and 33,963.20

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Solution

The fourth proportional to 105,022.92, 157,554.88 and 33,963.20 is: 50,951.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,022.92 : 157,554.88 = 33,963.20 : x
  2. Step 2: Convert to fraction form
    105,022.92/157,554.88 = 33,963.20/x
  3. Step 3: Cross multiply
    105,022.92x = 157,554.88 × 33,963.20
  4. Step 4: Simplify right side
    105,022.92x = 5,351,067,900.42
  5. Step 5: Solve for x
    x = 5,351,067,900.42/105,022.92
  6. Step 6: Final answer
    x = 50,951.43

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1.5x scale

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.