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Finding the Fourth Proportional to 73,820.68, 110,748.54 and 23,900.78

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Solution

The fourth proportional to 73,820.68, 110,748.54 and 23,900.78 is: 35,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820.68 : 110,748.54 = 23,900.78 : x
  2. Step 2: Convert to fraction form
    73,820.68/110,748.54 = 23,900.78/x
  3. Step 3: Cross multiply
    73,820.68x = 110,748.54 × 23,900.78
  4. Step 4: Simplify right side
    73,820.68x = 2,646,976,489.86
  5. Step 5: Solve for x
    x = 2,646,976,489.86/73,820.68
  6. Step 6: Final answer
    x = 35,856.84

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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.