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Finding the Fourth Proportional to 37,215.15, 51,357.50 and 20,219.73

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Solution

The fourth proportional to 37,215.15, 51,357.50 and 20,219.73 is: 27,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,215.15 : 51,357.50 = 20,219.73 : x
  2. Step 2: Convert to fraction form
    37,215.15/51,357.50 = 20,219.73/x
  3. Step 3: Cross multiply
    37,215.15x = 51,357.50 × 20,219.73
  4. Step 4: Simplify right side
    37,215.15x = 1,038,434,682.38
  5. Step 5: Solve for x
    x = 1,038,434,682.38/37,215.15
  6. Step 6: Final answer
    x = 27,903.55

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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.