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Finding the Fourth Proportional to 73,873, 101,944.74 and 40,339

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Solution

The fourth proportional to 73,873, 101,944.74 and 40,339 is: 55,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,873 : 101,944.74 = 40,339 : x
  2. Step 2: Convert to fraction form
    73,873/101,944.74 = 40,339/x
  3. Step 3: Cross multiply
    73,873x = 101,944.74 × 40,339
  4. Step 4: Simplify right side
    73,873x = 4,112,348,866.86
  5. Step 5: Solve for x
    x = 4,112,348,866.86/73,873
  6. Step 6: Final answer
    x = 55,667.82

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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.