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Finding the Fourth Proportional to 47,763.89, 65,908.94 and 27,617.73

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Solution

The fourth proportional to 47,763.89, 65,908.94 and 27,617.73 is: 38,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,763.89 : 65,908.94 = 27,617.73 : x
  2. Step 2: Convert to fraction form
    47,763.89/65,908.94 = 27,617.73/x
  3. Step 3: Cross multiply
    47,763.89x = 65,908.94 × 27,617.73
  4. Step 4: Simplify right side
    47,763.89x = 1,820,255,079.61
  5. Step 5: Solve for x
    x = 1,820,255,079.61/47,763.89
  6. Step 6: Final answer
    x = 38,109.44

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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.