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Finding the Fourth Proportional to 30,572.82, 45,855.64 and 8,388.44

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Solution

The fourth proportional to 30,572.82, 45,855.64 and 8,388.44 is: 12,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,572.82 : 45,855.64 = 8,388.44 : x
  2. Step 2: Convert to fraction form
    30,572.82/45,855.64 = 8,388.44/x
  3. Step 3: Cross multiply
    30,572.82x = 45,855.64 × 8,388.44
  4. Step 4: Simplify right side
    30,572.82x = 384,657,284.80
  5. Step 5: Solve for x
    x = 384,657,284.80/30,572.82
  6. Step 6: Final answer
    x = 12,581.67

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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.