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Finding the Fourth Proportional to 100,527.94, 150,797.10 and 25,648.74

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Solution

The fourth proportional to 100,527.94, 150,797.10 and 25,648.74 is: 38,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,527.94 : 150,797.10 = 25,648.74 : x
  2. Step 2: Convert to fraction form
    100,527.94/150,797.10 = 25,648.74/x
  3. Step 3: Cross multiply
    100,527.94x = 150,797.10 × 25,648.74
  4. Step 4: Simplify right side
    100,527.94x = 3,867,755,610.65
  5. Step 5: Solve for x
    x = 3,867,755,610.65/100,527.94
  6. Step 6: Final answer
    x = 38,474.43

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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.