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Finding the Fourth Proportional to 56,644.38, 78,175.35 and 32,770.62

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Solution

The fourth proportional to 56,644.38, 78,175.35 and 32,770.62 is: 45,226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,644.38 : 78,175.35 = 32,770.62 : x
  2. Step 2: Convert to fraction form
    56,644.38/78,175.35 = 32,770.62/x
  3. Step 3: Cross multiply
    56,644.38x = 78,175.35 × 32,770.62
  4. Step 4: Simplify right side
    56,644.38x = 2,561,854,688.22
  5. Step 5: Solve for x
    x = 2,561,854,688.22/56,644.38
  6. Step 6: Final answer
    x = 45,226.99

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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.