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Finding the Fourth Proportional to 48,591.80, 72,893.82 and 19,005.78

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Solution

The fourth proportional to 48,591.80, 72,893.82 and 19,005.78 is: 28,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,591.80 : 72,893.82 = 19,005.78 : x
  2. Step 2: Convert to fraction form
    48,591.80/72,893.82 = 19,005.78/x
  3. Step 3: Cross multiply
    48,591.80x = 72,893.82 × 19,005.78
  4. Step 4: Simplify right side
    48,591.80x = 1,385,403,906.28
  5. Step 5: Solve for x
    x = 1,385,403,906.28/48,591.80
  6. Step 6: Final answer
    x = 28,511.07

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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.