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Finding the Fourth Proportional to 57,902.13, 86,684.18 and 35,648.73

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Solution

The fourth proportional to 57,902.13, 86,684.18 and 35,648.73 is: 53,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,902.13 : 86,684.18 = 35,648.73 : x
  2. Step 2: Convert to fraction form
    57,902.13/86,684.18 = 35,648.73/x
  3. Step 3: Cross multiply
    57,902.13x = 86,684.18 × 35,648.73
  4. Step 4: Simplify right side
    57,902.13x = 3,090,180,749.85
  5. Step 5: Solve for x
    x = 3,090,180,749.85/57,902.13
  6. Step 6: Final answer
    x = 53,369.03

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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.