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Finding the Fourth Proportional to 73,787, 101,825.96 and 40,253

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Solution

The fourth proportional to 73,787, 101,825.96 and 40,253 is: 55,549.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,787 : 101,825.96 = 40,253 : x
  2. Step 2: Convert to fraction form
    73,787/101,825.96 = 40,253/x
  3. Step 3: Cross multiply
    73,787x = 101,825.96 × 40,253
  4. Step 4: Simplify right side
    73,787x = 4,098,800,367.88
  5. Step 5: Solve for x
    x = 4,098,800,367.88/73,787
  6. Step 6: Final answer
    x = 55,549.09

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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.