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Finding the Fourth Proportional to 49,635, 68,554.80 and 32,838.84

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Solution

The fourth proportional to 49,635, 68,554.80 and 32,838.84 is: 45,356.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,635 : 68,554.80 = 32,838.84 : x
  2. Step 2: Convert to fraction form
    49,635/68,554.80 = 32,838.84/x
  3. Step 3: Cross multiply
    49,635x = 68,554.80 × 32,838.84
  4. Step 4: Simplify right side
    49,635x = 2,251,260,108.43
  5. Step 5: Solve for x
    x = 2,251,260,108.43/49,635
  6. Step 6: Final answer
    x = 45,356.30

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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.