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Finding the Fourth Proportional to 36,562.70, 50,430.66 and 23,792.38

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Solution

The fourth proportional to 36,562.70, 50,430.66 and 23,792.38 is: 32,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,562.70 : 50,430.66 = 23,792.38 : x
  2. Step 2: Convert to fraction form
    36,562.70/50,430.66 = 23,792.38/x
  3. Step 3: Cross multiply
    36,562.70x = 50,430.66 × 23,792.38
  4. Step 4: Simplify right side
    36,562.70x = 1,199,865,174.22
  5. Step 5: Solve for x
    x = 1,199,865,174.22/36,562.70
  6. Step 6: Final answer
    x = 32,816.65

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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.