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Finding the Fourth Proportional to 37,207.50, 51,346.37 and 20,441.58

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Solution

The fourth proportional to 37,207.50, 51,346.37 and 20,441.58 is: 28,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,207.50 : 51,346.37 = 20,441.58 : x
  2. Step 2: Convert to fraction form
    37,207.50/51,346.37 = 20,441.58/x
  3. Step 3: Cross multiply
    37,207.50x = 51,346.37 × 20,441.58
  4. Step 4: Simplify right side
    37,207.50x = 1,049,600,930.06
  5. Step 5: Solve for x
    x = 1,049,600,930.06/37,207.50
  6. Step 6: Final answer
    x = 28,209.39

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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.