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Finding the Fourth Proportional to 75,183.76, 112,793.06 and 21,877

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Solution

The fourth proportional to 75,183.76, 112,793.06 and 21,877 is: 32,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,183.76 : 112,793.06 = 21,877 : x
  2. Step 2: Convert to fraction form
    75,183.76/112,793.06 = 21,877/x
  3. Step 3: Cross multiply
    75,183.76x = 112,793.06 × 21,877
  4. Step 4: Simplify right side
    75,183.76x = 2,467,573,773.62
  5. Step 5: Solve for x
    x = 2,467,573,773.62/75,183.76
  6. Step 6: Final answer
    x = 32,820.57

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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.