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Finding the Fourth Proportional to 35,704.27, 53,559.96 and 13,220.96

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Solution

The fourth proportional to 35,704.27, 53,559.96 and 13,220.96 is: 19,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.27 : 53,559.96 = 13,220.96 : x
  2. Step 2: Convert to fraction form
    35,704.27/53,559.96 = 13,220.96/x
  3. Step 3: Cross multiply
    35,704.27x = 53,559.96 × 13,220.96
  4. Step 4: Simplify right side
    35,704.27x = 708,113,771.38
  5. Step 5: Solve for x
    x = 708,113,771.38/35,704.27
  6. Step 6: Final answer
    x = 19,832.75

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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.