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Finding the Fourth Proportional to 30,282.90, 45,431.92 and 29,780.62

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Solution

The fourth proportional to 30,282.90, 45,431.92 and 29,780.62 is: 44,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,282.90 : 45,431.92 = 29,780.62 : x
  2. Step 2: Convert to fraction form
    30,282.90/45,431.92 = 29,780.62/x
  3. Step 3: Cross multiply
    30,282.90x = 45,431.92 × 29,780.62
  4. Step 4: Simplify right side
    30,282.90x = 1,352,990,745.39
  5. Step 5: Solve for x
    x = 1,352,990,745.39/30,282.90
  6. Step 6: Final answer
    x = 44,678.37

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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.