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Finding the Fourth Proportional to 76,507.28, 114,751.79 and 20,351.50

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Solution

The fourth proportional to 76,507.28, 114,751.79 and 20,351.50 is: 30,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.28 : 114,751.79 = 20,351.50 : x
  2. Step 2: Convert to fraction form
    76,507.28/114,751.79 = 20,351.50/x
  3. Step 3: Cross multiply
    76,507.28x = 114,751.79 × 20,351.50
  4. Step 4: Simplify right side
    76,507.28x = 2,335,370,665.55
  5. Step 5: Solve for x
    x = 2,335,370,665.55/76,507.28
  6. Step 6: Final answer
    x = 30,524.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.