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Finding the Fourth Proportional to 75,959.56, 113,914.95 and 25,345.18

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Solution

The fourth proportional to 75,959.56, 113,914.95 and 25,345.18 is: 38,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.56 : 113,914.95 = 25,345.18 : x
  2. Step 2: Convert to fraction form
    75,959.56/113,914.95 = 25,345.18/x
  3. Step 3: Cross multiply
    75,959.56x = 113,914.95 × 25,345.18
  4. Step 4: Simplify right side
    75,959.56x = 2,887,194,912.44
  5. Step 5: Solve for x
    x = 2,887,194,912.44/75,959.56
  6. Step 6: Final answer
    x = 38,009.63

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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.