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Finding the Fourth Proportional to 46,793.64, 70,227.40 and 21,820.80

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Solution

The fourth proportional to 46,793.64, 70,227.40 and 21,820.80 is: 32,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793.64 : 70,227.40 = 21,820.80 : x
  2. Step 2: Convert to fraction form
    46,793.64/70,227.40 = 21,820.80/x
  3. Step 3: Cross multiply
    46,793.64x = 70,227.40 × 21,820.80
  4. Step 4: Simplify right side
    46,793.64x = 1,532,418,049.92
  5. Step 5: Solve for x
    x = 1,532,418,049.92/46,793.64
  6. Step 6: Final answer
    x = 32,748.43

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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.