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Finding the Fourth Proportional to 45,672.84, 68,462.85 and 30,883.44

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Solution

The fourth proportional to 45,672.84, 68,462.85 and 30,883.44 is: 46,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,672.84 : 68,462.85 = 30,883.44 : x
  2. Step 2: Convert to fraction form
    45,672.84/68,462.85 = 30,883.44/x
  3. Step 3: Cross multiply
    45,672.84x = 68,462.85 × 30,883.44
  4. Step 4: Simplify right side
    45,672.84x = 2,114,368,320.20
  5. Step 5: Solve for x
    x = 2,114,368,320.20/45,672.84
  6. Step 6: Final answer
    x = 46,293.78

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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.