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Finding the Fourth Proportional to 56,716.70, 85,123.65 and 25,175.30

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Solution

The fourth proportional to 56,716.70, 85,123.65 and 25,175.30 is: 37,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,716.70 : 85,123.65 = 25,175.30 : x
  2. Step 2: Convert to fraction form
    56,716.70/85,123.65 = 25,175.30/x
  3. Step 3: Cross multiply
    56,716.70x = 85,123.65 × 25,175.30
  4. Step 4: Simplify right side
    56,716.70x = 2,143,013,425.85
  5. Step 5: Solve for x
    x = 2,143,013,425.85/56,716.70
  6. Step 6: Final answer
    x = 37,784.52

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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.