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Finding the Fourth Proportional to 48,193.20, 66,459.96 and 37,578.96

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Solution

The fourth proportional to 48,193.20, 66,459.96 and 37,578.96 is: 51,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193.20 : 66,459.96 = 37,578.96 : x
  2. Step 2: Convert to fraction form
    48,193.20/66,459.96 = 37,578.96/x
  3. Step 3: Cross multiply
    48,193.20x = 66,459.96 × 37,578.96
  4. Step 4: Simplify right side
    48,193.20x = 2,497,496,178.44
  5. Step 5: Solve for x
    x = 2,497,496,178.44/48,193.20
  6. Step 6: Final answer
    x = 51,822.58

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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.