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Finding the Fourth Proportional to 100,584.75, 150,877.14 and 26,712.75

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Solution

The fourth proportional to 100,584.75, 150,877.14 and 26,712.75 is: 40,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,584.75 : 150,877.14 = 26,712.75 : x
  2. Step 2: Convert to fraction form
    100,584.75/150,877.14 = 26,712.75/x
  3. Step 3: Cross multiply
    100,584.75x = 150,877.14 × 26,712.75
  4. Step 4: Simplify right side
    100,584.75x = 4,030,343,321.54
  5. Step 5: Solve for x
    x = 4,030,343,321.54/100,584.75
  6. Step 6: Final answer
    x = 40,069.13

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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.