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Finding the Fourth Proportional to 51,874.80, 77,869.80 and 32,175.60

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Solution

The fourth proportional to 51,874.80, 77,869.80 and 32,175.60 is: 48,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,874.80 : 77,869.80 = 32,175.60 : x
  2. Step 2: Convert to fraction form
    51,874.80/77,869.80 = 32,175.60/x
  3. Step 3: Cross multiply
    51,874.80x = 77,869.80 × 32,175.60
  4. Step 4: Simplify right side
    51,874.80x = 2,505,507,536.88
  5. Step 5: Solve for x
    x = 2,505,507,536.88/51,874.80
  6. Step 6: Final answer
    x = 48,299.13

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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.