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Finding the Fourth Proportional to 51,919.56, 77,908.92 and 20,332.20

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Solution

The fourth proportional to 51,919.56, 77,908.92 and 20,332.20 is: 30,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,919.56 : 77,908.92 = 20,332.20 : x
  2. Step 2: Convert to fraction form
    51,919.56/77,908.92 = 20,332.20/x
  3. Step 3: Cross multiply
    51,919.56x = 77,908.92 × 20,332.20
  4. Step 4: Simplify right side
    51,919.56x = 1,584,059,743.22
  5. Step 5: Solve for x
    x = 1,584,059,743.22/51,919.56
  6. Step 6: Final answer
    x = 30,509.88

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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.