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Finding the Fourth Proportional to 32,507.67, 48,768.81 and 10,321.77

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Solution

The fourth proportional to 32,507.67, 48,768.81 and 10,321.77 is: 15,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.67 : 48,768.81 = 10,321.77 : x
  2. Step 2: Convert to fraction form
    32,507.67/48,768.81 = 10,321.77/x
  3. Step 3: Cross multiply
    32,507.67x = 48,768.81 × 10,321.77
  4. Step 4: Simplify right side
    32,507.67x = 503,380,439.99
  5. Step 5: Solve for x
    x = 503,380,439.99/32,507.67
  6. Step 6: Final answer
    x = 15,484.97

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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.