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Finding the Fourth Proportional to 20,030.10, 30,045.75 and 6,882.30

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Solution

The fourth proportional to 20,030.10, 30,045.75 and 6,882.30 is: 10,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.10 : 30,045.75 = 6,882.30 : x
  2. Step 2: Convert to fraction form
    20,030.10/30,045.75 = 6,882.30/x
  3. Step 3: Cross multiply
    20,030.10x = 30,045.75 × 6,882.30
  4. Step 4: Simplify right side
    20,030.10x = 206,783,865.23
  5. Step 5: Solve for x
    x = 206,783,865.23/20,030.10
  6. Step 6: Final answer
    x = 10,323.66

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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.