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Finding the Fourth Proportional to 47,819.61, 65,999.07 and 27,673.02

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Solution

The fourth proportional to 47,819.61, 65,999.07 and 27,673.02 is: 38,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,819.61 : 65,999.07 = 27,673.02 : x
  2. Step 2: Convert to fraction form
    47,819.61/65,999.07 = 27,673.02/x
  3. Step 3: Cross multiply
    47,819.61x = 65,999.07 × 27,673.02
  4. Step 4: Simplify right side
    47,819.61x = 1,826,393,584.09
  5. Step 5: Solve for x
    x = 1,826,393,584.09/47,819.61
  6. Step 6: Final answer
    x = 38,193.40

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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.