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Finding the Fourth Proportional to 30,882.20, 46,323.29 and 7,508.43

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Solution

The fourth proportional to 30,882.20, 46,323.29 and 7,508.43 is: 11,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.20 : 46,323.29 = 7,508.43 : x
  2. Step 2: Convert to fraction form
    30,882.20/46,323.29 = 7,508.43/x
  3. Step 3: Cross multiply
    30,882.20x = 46,323.29 × 7,508.43
  4. Step 4: Simplify right side
    30,882.20x = 347,815,199.11
  5. Step 5: Solve for x
    x = 347,815,199.11/30,882.20
  6. Step 6: Final answer
    x = 11,262.65

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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.