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Finding the Fourth Proportional to 100,568.25, 150,852.31 and 25,685.71

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Solution

The fourth proportional to 100,568.25, 150,852.31 and 25,685.71 is: 38,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,568.25 : 150,852.31 = 25,685.71 : x
  2. Step 2: Convert to fraction form
    100,568.25/150,852.31 = 25,685.71/x
  3. Step 3: Cross multiply
    100,568.25x = 150,852.31 × 25,685.71
  4. Step 4: Simplify right side
    100,568.25x = 3,874,748,246.15
  5. Step 5: Solve for x
    x = 3,874,748,246.15/100,568.25
  6. Step 6: Final answer
    x = 38,528.54

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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.