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Finding the Fourth Proportional to 32,755.68, 49,135.20 and 9,381.50

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Solution

The fourth proportional to 32,755.68, 49,135.20 and 9,381.50 is: 14,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,755.68 : 49,135.20 = 9,381.50 : x
  2. Step 2: Convert to fraction form
    32,755.68/49,135.20 = 9,381.50/x
  3. Step 3: Cross multiply
    32,755.68x = 49,135.20 × 9,381.50
  4. Step 4: Simplify right side
    32,755.68x = 460,961,878.80
  5. Step 5: Solve for x
    x = 460,961,878.80/32,755.68
  6. Step 6: Final answer
    x = 14,072.73

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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.