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Finding the Fourth Proportional to 49,650, 68,575.50 and 32,853.84

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Solution

The fourth proportional to 49,650, 68,575.50 and 32,853.84 is: 45,377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,650 : 68,575.50 = 32,853.84 : x
  2. Step 2: Convert to fraction form
    49,650/68,575.50 = 32,853.84/x
  3. Step 3: Cross multiply
    49,650x = 68,575.50 × 32,853.84
  4. Step 4: Simplify right side
    49,650x = 2,252,968,504.92
  5. Step 5: Solve for x
    x = 2,252,968,504.92/49,650
  6. Step 6: Final answer
    x = 45,377.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.