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Finding the Fourth Proportional to 47,740.31, 65,874.31 and 27,593.31

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Solution

The fourth proportional to 47,740.31, 65,874.31 and 27,593.31 is: 38,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,740.31 : 65,874.31 = 27,593.31 : x
  2. Step 2: Convert to fraction form
    47,740.31/65,874.31 = 27,593.31/x
  3. Step 3: Cross multiply
    47,740.31x = 65,874.31 × 27,593.31
  4. Step 4: Simplify right side
    47,740.31x = 1,817,690,219.58
  5. Step 5: Solve for x
    x = 1,817,690,219.58/47,740.31
  6. Step 6: Final answer
    x = 38,074.54

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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.