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Finding the Fourth Proportional to 85,648.72, 118,195.38 and 47,923

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Solution

The fourth proportional to 85,648.72, 118,195.38 and 47,923 is: 66,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,648.72 : 118,195.38 = 47,923 : x
  2. Step 2: Convert to fraction form
    85,648.72/118,195.38 = 47,923/x
  3. Step 3: Cross multiply
    85,648.72x = 118,195.38 × 47,923
  4. Step 4: Simplify right side
    85,648.72x = 5,664,277,195.74
  5. Step 5: Solve for x
    x = 5,664,277,195.74/85,648.72
  6. Step 6: Final answer
    x = 66,133.82

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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.