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Finding the Fourth Proportional to 46,793.78, 70,227.49 and 21,820.96

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Solution

The fourth proportional to 46,793.78, 70,227.49 and 21,820.96 is: 32,748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793.78 : 70,227.49 = 21,820.96 : x
  2. Step 2: Convert to fraction form
    46,793.78/70,227.49 = 21,820.96/x
  3. Step 3: Cross multiply
    46,793.78x = 70,227.49 × 21,820.96
  4. Step 4: Simplify right side
    46,793.78x = 1,532,431,250.19
  5. Step 5: Solve for x
    x = 1,532,431,250.19/46,793.78
  6. Step 6: Final answer
    x = 32,748.61

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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.