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Finding the Fourth Proportional to 32,201.46, 48,309.48 and 11,424.96

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Solution

The fourth proportional to 32,201.46, 48,309.48 and 11,424.96 is: 17,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.46 : 48,309.48 = 11,424.96 : x
  2. Step 2: Convert to fraction form
    32,201.46/48,309.48 = 11,424.96/x
  3. Step 3: Cross multiply
    32,201.46x = 48,309.48 × 11,424.96
  4. Step 4: Simplify right side
    32,201.46x = 551,933,876.62
  5. Step 5: Solve for x
    x = 551,933,876.62/32,201.46
  6. Step 6: Final answer
    x = 17,140.03

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1.5x scale

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.