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Finding the Fourth Proportional to 47,878.68, 71,793.99 and 27,894.63

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Solution

The fourth proportional to 47,878.68, 71,793.99 and 27,894.63 is: 41,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,878.68 : 71,793.99 = 27,894.63 : x
  2. Step 2: Convert to fraction form
    47,878.68/71,793.99 = 27,894.63/x
  3. Step 3: Cross multiply
    47,878.68x = 71,793.99 × 27,894.63
  4. Step 4: Simplify right side
    47,878.68x = 2,002,666,787.27
  5. Step 5: Solve for x
    x = 2,002,666,787.27/47,878.68
  6. Step 6: Final answer
    x = 41,827.94

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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.