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Finding the Fourth Proportional to 30,662.50, 45,992.83 and 8,477.21

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Solution

The fourth proportional to 30,662.50, 45,992.83 and 8,477.21 is: 12,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.50 : 45,992.83 = 8,477.21 : x
  2. Step 2: Convert to fraction form
    30,662.50/45,992.83 = 8,477.21/x
  3. Step 3: Cross multiply
    30,662.50x = 45,992.83 × 8,477.21
  4. Step 4: Simplify right side
    30,662.50x = 389,890,606.05
  5. Step 5: Solve for x
    x = 389,890,606.05/30,662.50
  6. Step 6: Final answer
    x = 12,715.55

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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.