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Finding the Fourth Proportional to 37,149.20, 55,723.80 and 35,421.20

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Solution

The fourth proportional to 37,149.20, 55,723.80 and 35,421.20 is: 53,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.20 : 55,723.80 = 35,421.20 : x
  2. Step 2: Convert to fraction form
    37,149.20/55,723.80 = 35,421.20/x
  3. Step 3: Cross multiply
    37,149.20x = 55,723.80 × 35,421.20
  4. Step 4: Simplify right side
    37,149.20x = 1,973,803,864.56
  5. Step 5: Solve for x
    x = 1,973,803,864.56/37,149.20
  6. Step 6: Final answer
    x = 53,131.80

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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.