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Finding the Fourth Proportional to 57,741.20, 86,611.80 and 53,421.20

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Solution

The fourth proportional to 57,741.20, 86,611.80 and 53,421.20 is: 80,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,741.20 : 86,611.80 = 53,421.20 : x
  2. Step 2: Convert to fraction form
    57,741.20/86,611.80 = 53,421.20/x
  3. Step 3: Cross multiply
    57,741.20x = 86,611.80 × 53,421.20
  4. Step 4: Simplify right side
    57,741.20x = 4,626,906,290.16
  5. Step 5: Solve for x
    x = 4,626,906,290.16/57,741.20
  6. Step 6: Final answer
    x = 80,131.80

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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.