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Finding the Fourth Proportional to 47,877.68, 71,792.49 and 27,893.63

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Solution

The fourth proportional to 47,877.68, 71,792.49 and 27,893.63 is: 41,826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,877.68 : 71,792.49 = 27,893.63 : x
  2. Step 2: Convert to fraction form
    47,877.68/71,792.49 = 27,893.63/x
  3. Step 3: Cross multiply
    47,877.68x = 71,792.49 × 27,893.63
  4. Step 4: Simplify right side
    47,877.68x = 2,002,553,436.92
  5. Step 5: Solve for x
    x = 2,002,553,436.92/47,877.68
  6. Step 6: Final answer
    x = 41,826.45

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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.