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Finding the Fourth Proportional to 30,652.96, 45,975.96 and 8,469.48

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Solution

The fourth proportional to 30,652.96, 45,975.96 and 8,469.48 is: 12,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.96 : 45,975.96 = 8,469.48 : x
  2. Step 2: Convert to fraction form
    30,652.96/45,975.96 = 8,469.48/x
  3. Step 3: Cross multiply
    30,652.96x = 45,975.96 × 8,469.48
  4. Step 4: Simplify right side
    30,652.96x = 389,392,473.70
  5. Step 5: Solve for x
    x = 389,392,473.70/30,652.96
  6. Step 6: Final answer
    x = 12,703.26

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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.