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Finding the Fourth Proportional to 48,578.72, 72,813.38 and 24,819.80

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Solution

The fourth proportional to 48,578.72, 72,813.38 and 24,819.80 is: 37,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,578.72 : 72,813.38 = 24,819.80 : x
  2. Step 2: Convert to fraction form
    48,578.72/72,813.38 = 24,819.80/x
  3. Step 3: Cross multiply
    48,578.72x = 72,813.38 × 24,819.80
  4. Step 4: Simplify right side
    48,578.72x = 1,807,213,528.92
  5. Step 5: Solve for x
    x = 1,807,213,528.92/48,578.72
  6. Step 6: Final answer
    x = 37,201.75

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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.