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Finding the Fourth Proportional to 20,049, 30,055.38 and 9,512.52

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Solution

The fourth proportional to 20,049, 30,055.38 and 9,512.52 is: 14,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049 : 30,055.38 = 9,512.52 : x
  2. Step 2: Convert to fraction form
    20,049/30,055.38 = 9,512.52/x
  3. Step 3: Cross multiply
    20,049x = 30,055.38 × 9,512.52
  4. Step 4: Simplify right side
    20,049x = 285,902,403.36
  5. Step 5: Solve for x
    x = 285,902,403.36/20,049
  6. Step 6: Final answer
    x = 14,260.18

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1.5x scale

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.