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Finding the Fourth Proportional to 105,708.96, 158,563.44 and 31,836.96

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Solution

The fourth proportional to 105,708.96, 158,563.44 and 31,836.96 is: 47,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,708.96 : 158,563.44 = 31,836.96 : x
  2. Step 2: Convert to fraction form
    105,708.96/158,563.44 = 31,836.96/x
  3. Step 3: Cross multiply
    105,708.96x = 158,563.44 × 31,836.96
  4. Step 4: Simplify right side
    105,708.96x = 5,048,177,896.74
  5. Step 5: Solve for x
    x = 5,048,177,896.74/105,708.96
  6. Step 6: Final answer
    x = 47,755.44

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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.