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Finding the Fourth Proportional to 20,062.83, 30,094.20 and 6,022.84

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Solution

The fourth proportional to 20,062.83, 30,094.20 and 6,022.84 is: 9,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,062.83 : 30,094.20 = 6,022.84 : x
  2. Step 2: Convert to fraction form
    20,062.83/30,094.20 = 6,022.84/x
  3. Step 3: Cross multiply
    20,062.83x = 30,094.20 × 6,022.84
  4. Step 4: Simplify right side
    20,062.83x = 181,252,551.53
  5. Step 5: Solve for x
    x = 181,252,551.53/20,062.83
  6. Step 6: Final answer
    x = 9,034.25

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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.