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Finding the Fourth Proportional to 55,614.86, 76,762.24 and 31,755.38

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Solution

The fourth proportional to 55,614.86, 76,762.24 and 31,755.38 is: 43,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,614.86 : 76,762.24 = 31,755.38 : x
  2. Step 2: Convert to fraction form
    55,614.86/76,762.24 = 31,755.38/x
  3. Step 3: Cross multiply
    55,614.86x = 76,762.24 × 31,755.38
  4. Step 4: Simplify right side
    55,614.86x = 2,437,614,100.85
  5. Step 5: Solve for x
    x = 2,437,614,100.85/55,614.86
  6. Step 6: Final answer
    x = 43,830.27

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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.