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Finding the Fourth Proportional to 73,145.78, 109,750.37 and 25,794.71

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Solution

The fourth proportional to 73,145.78, 109,750.37 and 25,794.71 is: 38,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,145.78 : 109,750.37 = 25,794.71 : x
  2. Step 2: Convert to fraction form
    73,145.78/109,750.37 = 25,794.71/x
  3. Step 3: Cross multiply
    73,145.78x = 109,750.37 × 25,794.71
  4. Step 4: Simplify right side
    73,145.78x = 2,830,978,845.48
  5. Step 5: Solve for x
    x = 2,830,978,845.48/73,145.78
  6. Step 6: Final answer
    x = 38,703.24

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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.