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Finding the Fourth Proportional to 50,726.24, 75,978.40 and 25,723.20

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Solution

The fourth proportional to 50,726.24, 75,978.40 and 25,723.20 is: 38,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,726.24 : 75,978.40 = 25,723.20 : x
  2. Step 2: Convert to fraction form
    50,726.24/75,978.40 = 25,723.20/x
  3. Step 3: Cross multiply
    50,726.24x = 75,978.40 × 25,723.20
  4. Step 4: Simplify right side
    50,726.24x = 1,954,407,578.88
  5. Step 5: Solve for x
    x = 1,954,407,578.88/50,726.24
  6. Step 6: Final answer
    x = 38,528.53

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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.