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Finding the Fourth Proportional to 20,046.50, 30,061.04 and 9,519.56

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Solution

The fourth proportional to 20,046.50, 30,061.04 and 9,519.56 is: 14,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.50 : 30,061.04 = 9,519.56 : x
  2. Step 2: Convert to fraction form
    20,046.50/30,061.04 = 9,519.56/x
  3. Step 3: Cross multiply
    20,046.50x = 30,061.04 × 9,519.56
  4. Step 4: Simplify right side
    20,046.50x = 286,167,873.94
  5. Step 5: Solve for x
    x = 286,167,873.94/20,046.50
  6. Step 6: Final answer
    x = 14,275.20

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Why These Related Problems?

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