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Finding the Fourth Proportional to 25,713.20, 38,512.20 and 25,137.20

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Solution

The fourth proportional to 25,713.20, 38,512.20 and 25,137.20 is: 37,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,713.20 : 38,512.20 = 25,137.20 : x
  2. Step 2: Convert to fraction form
    25,713.20/38,512.20 = 25,137.20/x
  3. Step 3: Cross multiply
    25,713.20x = 38,512.20 × 25,137.20
  4. Step 4: Simplify right side
    25,713.20x = 968,088,873.84
  5. Step 5: Solve for x
    x = 968,088,873.84/25,713.20
  6. Step 6: Final answer
    x = 37,649.49

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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.