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Finding the Fourth Proportional to 51,907.89, 71,632.86 and 28,034.56

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Solution

The fourth proportional to 51,907.89, 71,632.86 and 28,034.56 is: 38,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,907.89 : 71,632.86 = 28,034.56 : x
  2. Step 2: Convert to fraction form
    51,907.89/71,632.86 = 28,034.56/x
  3. Step 3: Cross multiply
    51,907.89x = 71,632.86 × 28,034.56
  4. Step 4: Simplify right side
    51,907.89x = 2,008,195,293.12
  5. Step 5: Solve for x
    x = 2,008,195,293.12/51,907.89
  6. Step 6: Final answer
    x = 38,687.67

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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.