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Finding the Fourth Proportional to 37,412.80, 51,629.34 and 20,417.38

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Solution

The fourth proportional to 37,412.80, 51,629.34 and 20,417.38 is: 28,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412.80 : 51,629.34 = 20,417.38 : x
  2. Step 2: Convert to fraction form
    37,412.80/51,629.34 = 20,417.38/x
  3. Step 3: Cross multiply
    37,412.80x = 51,629.34 × 20,417.38
  4. Step 4: Simplify right side
    37,412.80x = 1,054,135,853.93
  5. Step 5: Solve for x
    x = 1,054,135,853.93/37,412.80
  6. Step 6: Final answer
    x = 28,175.81

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Why These Related Problems?

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