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Finding the Fourth Proportional to 36,214.86, 49,975.56 and 20,300.34

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Solution

The fourth proportional to 36,214.86, 49,975.56 and 20,300.34 is: 28,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,214.86 : 49,975.56 = 20,300.34 : x
  2. Step 2: Convert to fraction form
    36,214.86/49,975.56 = 20,300.34/x
  3. Step 3: Cross multiply
    36,214.86x = 49,975.56 × 20,300.34
  4. Step 4: Simplify right side
    36,214.86x = 1,014,520,859.69
  5. Step 5: Solve for x
    x = 1,014,520,859.69/36,214.86
  6. Step 6: Final answer
    x = 28,013.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.