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Finding the Fourth Proportional to 30,578.46, 45,872.25 and 10,855.37

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Solution

The fourth proportional to 30,578.46, 45,872.25 and 10,855.37 is: 16,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.46 : 45,872.25 = 10,855.37 : x
  2. Step 2: Convert to fraction form
    30,578.46/45,872.25 = 10,855.37/x
  3. Step 3: Cross multiply
    30,578.46x = 45,872.25 × 10,855.37
  4. Step 4: Simplify right side
    30,578.46x = 497,960,017.12
  5. Step 5: Solve for x
    x = 497,960,017.12/30,578.46
  6. Step 6: Final answer
    x = 16,284.67

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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.