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Finding the Fourth Proportional to 37,412.42, 51,627.42 and 20,417.38

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Solution

The fourth proportional to 37,412.42, 51,627.42 and 20,417.38 is: 28,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412.42 : 51,627.42 = 20,417.38 : x
  2. Step 2: Convert to fraction form
    37,412.42/51,627.42 = 20,417.38/x
  3. Step 3: Cross multiply
    37,412.42x = 51,627.42 × 20,417.38
  4. Step 4: Simplify right side
    37,412.42x = 1,054,096,523.49
  5. Step 5: Solve for x
    x = 1,054,096,523.49/37,412.42
  6. Step 6: Final answer
    x = 28,175.05

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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.