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Finding the Fourth Proportional to 37,115, 51,180.22 and 25,797.28

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Solution

The fourth proportional to 37,115, 51,180.22 and 25,797.28 is: 35,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115 : 51,180.22 = 25,797.28 : x
  2. Step 2: Convert to fraction form
    37,115/51,180.22 = 25,797.28/x
  3. Step 3: Cross multiply
    37,115x = 51,180.22 × 25,797.28
  4. Step 4: Simplify right side
    37,115x = 1,320,310,465.80
  5. Step 5: Solve for x
    x = 1,320,310,465.80/37,115
  6. Step 6: Final answer
    x = 35,573.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.