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Finding the Fourth Proportional to 73,897.68, 110,856.96 and 23,961

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Solution

The fourth proportional to 73,897.68, 110,856.96 and 23,961 is: 35,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,897.68 : 110,856.96 = 23,961 : x
  2. Step 2: Convert to fraction form
    73,897.68/110,856.96 = 23,961/x
  3. Step 3: Cross multiply
    73,897.68x = 110,856.96 × 23,961
  4. Step 4: Simplify right side
    73,897.68x = 2,656,243,618.56
  5. Step 5: Solve for x
    x = 2,656,243,618.56/73,897.68
  6. Step 6: Final answer
    x = 35,944.89

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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.