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Finding the Fourth Proportional to 45,820.80, 68,698.80 and 20,872.80

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Solution

The fourth proportional to 45,820.80, 68,698.80 and 20,872.80 is: 31,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,820.80 : 68,698.80 = 20,872.80 : x
  2. Step 2: Convert to fraction form
    45,820.80/68,698.80 = 20,872.80/x
  3. Step 3: Cross multiply
    45,820.80x = 68,698.80 × 20,872.80
  4. Step 4: Simplify right side
    45,820.80x = 1,433,936,312.64
  5. Step 5: Solve for x
    x = 1,433,936,312.64/45,820.80
  6. Step 6: Final answer
    x = 31,294.44

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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.