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Finding the Fourth Proportional to 55,222.88, 82,834.31 and 13,669.88

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Solution

The fourth proportional to 55,222.88, 82,834.31 and 13,669.88 is: 20,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,222.88 : 82,834.31 = 13,669.88 : x
  2. Step 2: Convert to fraction form
    55,222.88/82,834.31 = 13,669.88/x
  3. Step 3: Cross multiply
    55,222.88x = 82,834.31 × 13,669.88
  4. Step 4: Simplify right side
    55,222.88x = 1,132,334,697.59
  5. Step 5: Solve for x
    x = 1,132,334,697.59/55,222.88
  6. Step 6: Final answer
    x = 20,504.81

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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.