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Finding the Fourth Proportional to 75,201.37, 112,797.89 and 25,276.31

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Solution

The fourth proportional to 75,201.37, 112,797.89 and 25,276.31 is: 37,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,201.37 : 112,797.89 = 25,276.31 : x
  2. Step 2: Convert to fraction form
    75,201.37/112,797.89 = 25,276.31/x
  3. Step 3: Cross multiply
    75,201.37x = 112,797.89 × 25,276.31
  4. Step 4: Simplify right side
    75,201.37x = 2,851,114,434.99
  5. Step 5: Solve for x
    x = 2,851,114,434.99/75,201.37
  6. Step 6: Final answer
    x = 37,913.07

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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.