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Finding the Fourth Proportional to 32,401.31, 48,601.97 and 7,777.31

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Solution

The fourth proportional to 32,401.31, 48,601.97 and 7,777.31 is: 11,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,401.31 : 48,601.97 = 7,777.31 : x
  2. Step 2: Convert to fraction form
    32,401.31/48,601.97 = 7,777.31/x
  3. Step 3: Cross multiply
    32,401.31x = 48,601.97 × 7,777.31
  4. Step 4: Simplify right side
    32,401.31x = 377,992,699.08
  5. Step 5: Solve for x
    x = 377,992,699.08/32,401.31
  6. Step 6: Final answer
    x = 11,665.97

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Similar ratio
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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.